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Finding the Fourth Proportional to 2,547.48, 3,819.96 and 903.78

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Solution

The fourth proportional to 2,547.48, 3,819.96 and 903.78 is: 1,355.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,547.48 : 3,819.96 = 903.78 : x
  2. Step 2: Convert to fraction form
    2,547.48/3,819.96 = 903.78/x
  3. Step 3: Cross multiply
    2,547.48x = 3,819.96 × 903.78
  4. Step 4: Simplify right side
    2,547.48x = 3,452,403.45
  5. Step 5: Solve for x
    x = 3,452,403.45/2,547.48
  6. Step 6: Final answer
    x = 1,355.22

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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.