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Finding the Fourth Proportional to 2,547.45, 3,822.99 and 1,160.97

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Solution

The fourth proportional to 2,547.45, 3,822.99 and 1,160.97 is: 1,742.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,547.45 : 3,822.99 = 1,160.97 : x
  2. Step 2: Convert to fraction form
    2,547.45/3,822.99 = 1,160.97/x
  3. Step 3: Cross multiply
    2,547.45x = 3,822.99 × 1,160.97
  4. Step 4: Simplify right side
    2,547.45x = 4,438,376.70
  5. Step 5: Solve for x
    x = 4,438,376.70/2,547.45
  6. Step 6: Final answer
    x = 1,742.28

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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.