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Finding the Fourth Proportional to 1,562.18, 2,342.49 and 869.33

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Solution

The fourth proportional to 1,562.18, 2,342.49 and 869.33 is: 1,303.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,562.18 : 2,342.49 = 869.33 : x
  2. Step 2: Convert to fraction form
    1,562.18/2,342.49 = 869.33/x
  3. Step 3: Cross multiply
    1,562.18x = 2,342.49 × 869.33
  4. Step 4: Simplify right side
    1,562.18x = 2,036,385.12
  5. Step 5: Solve for x
    x = 2,036,385.12/1,562.18
  6. Step 6: Final answer
    x = 1,303.56

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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.