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Finding the Fourth Proportional to 2,459.43, 3,689.14 and 816.10

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Solution

The fourth proportional to 2,459.43, 3,689.14 and 816.10 is: 1,224.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,459.43 : 3,689.14 = 816.10 : x
  2. Step 2: Convert to fraction form
    2,459.43/3,689.14 = 816.10/x
  3. Step 3: Cross multiply
    2,459.43x = 3,689.14 × 816.10
  4. Step 4: Simplify right side
    2,459.43x = 3,010,684.63
  5. Step 5: Solve for x
    x = 3,010,684.63/2,459.43
  6. Step 6: Final answer
    x = 1,224.14

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.