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Finding the Fourth Proportional to 2,547.32, 3,819.90 and 904.28

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Solution

The fourth proportional to 2,547.32, 3,819.90 and 904.28 is: 1,356.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,547.32 : 3,819.90 = 904.28 : x
  2. Step 2: Convert to fraction form
    2,547.32/3,819.90 = 904.28/x
  3. Step 3: Cross multiply
    2,547.32x = 3,819.90 × 904.28
  4. Step 4: Simplify right side
    2,547.32x = 3,454,259.17
  5. Step 5: Solve for x
    x = 3,454,259.17/2,547.32
  6. Step 6: Final answer
    x = 1,356.04

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