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Finding the Fourth Proportional to 2,373.47, 3,560.25 and 813.47

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Solution

The fourth proportional to 2,373.47, 3,560.25 and 813.47 is: 1,220.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,373.47 : 3,560.25 = 813.47 : x
  2. Step 2: Convert to fraction form
    2,373.47/3,560.25 = 813.47/x
  3. Step 3: Cross multiply
    2,373.47x = 3,560.25 × 813.47
  4. Step 4: Simplify right side
    2,373.47x = 2,896,141.82
  5. Step 5: Solve for x
    x = 2,896,141.82/2,373.47
  6. Step 6: Final answer
    x = 1,220.21

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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.