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Finding the Fourth Proportional to 2,547.59, 3,515.76 and 1,552.15

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Solution

The fourth proportional to 2,547.59, 3,515.76 and 1,552.15 is: 2,142.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,547.59 : 3,515.76 = 1,552.15 : x
  2. Step 2: Convert to fraction form
    2,547.59/3,515.76 = 1,552.15/x
  3. Step 3: Cross multiply
    2,547.59x = 3,515.76 × 1,552.15
  4. Step 4: Simplify right side
    2,547.59x = 5,456,991.28
  5. Step 5: Solve for x
    x = 5,456,991.28/2,547.59
  6. Step 6: Final answer
    x = 2,142.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.