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Finding the Fourth Proportional to 1,340.48, 1,848.57 and 1,060.31

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Solution

The fourth proportional to 1,340.48, 1,848.57 and 1,060.31 is: 1,462.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,340.48 : 1,848.57 = 1,060.31 : x
  2. Step 2: Convert to fraction form
    1,340.48/1,848.57 = 1,060.31/x
  3. Step 3: Cross multiply
    1,340.48x = 1,848.57 × 1,060.31
  4. Step 4: Simplify right side
    1,340.48x = 1,960,057.26
  5. Step 5: Solve for x
    x = 1,960,057.26/1,340.48
  6. Step 6: Final answer
    x = 1,462.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.