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Finding the Fourth Proportional to 2,471.04, 3,711.36 and 1,547.04

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Solution

The fourth proportional to 2,471.04, 3,711.36 and 1,547.04 is: 2,323.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,471.04 : 3,711.36 = 1,547.04 : x
  2. Step 2: Convert to fraction form
    2,471.04/3,711.36 = 1,547.04/x
  3. Step 3: Cross multiply
    2,471.04x = 3,711.36 × 1,547.04
  4. Step 4: Simplify right side
    2,471.04x = 5,741,622.37
  5. Step 5: Solve for x
    x = 5,741,622.37/2,471.04
  6. Step 6: Final answer
    x = 2,323.57

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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.