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Finding the Fourth Proportional to 1,562.36, 2,341.71 and 868.66

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Solution

The fourth proportional to 1,562.36, 2,341.71 and 868.66 is: 1,301.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,562.36 : 2,341.71 = 868.66 : x
  2. Step 2: Convert to fraction form
    1,562.36/2,341.71 = 868.66/x
  3. Step 3: Cross multiply
    1,562.36x = 2,341.71 × 868.66
  4. Step 4: Simplify right side
    1,562.36x = 2,034,143.95
  5. Step 5: Solve for x
    x = 2,034,143.95/1,562.36
  6. Step 6: Final answer
    x = 1,301.97

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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.