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Finding the Fourth Proportional to 2,424.10, 3,636.18 and 669.08

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Solution

The fourth proportional to 2,424.10, 3,636.18 and 669.08 is: 1,003.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,424.10 : 3,636.18 = 669.08 : x
  2. Step 2: Convert to fraction form
    2,424.10/3,636.18 = 669.08/x
  3. Step 3: Cross multiply
    2,424.10x = 3,636.18 × 669.08
  4. Step 4: Simplify right side
    2,424.10x = 2,432,895.31
  5. Step 5: Solve for x
    x = 2,432,895.31/2,424.10
  6. Step 6: Final answer
    x = 1,003.63

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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.