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Finding the Fourth Proportional to 1,547.64, 2,319.84 and 818.10

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Solution

The fourth proportional to 1,547.64, 2,319.84 and 818.10 is: 1,226.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,547.64 : 2,319.84 = 818.10 : x
  2. Step 2: Convert to fraction form
    1,547.64/2,319.84 = 818.10/x
  3. Step 3: Cross multiply
    1,547.64x = 2,319.84 × 818.10
  4. Step 4: Simplify right side
    1,547.64x = 1,897,861.10
  5. Step 5: Solve for x
    x = 1,897,861.10/1,547.64
  6. Step 6: Final answer
    x = 1,226.29

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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.