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Finding the Fourth Proportional to 1,337.67, 1,845.95 and 740.21

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Solution

The fourth proportional to 1,337.67, 1,845.95 and 740.21 is: 1,021.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,337.67 : 1,845.95 = 740.21 : x
  2. Step 2: Convert to fraction form
    1,337.67/1,845.95 = 740.21/x
  3. Step 3: Cross multiply
    1,337.67x = 1,845.95 × 740.21
  4. Step 4: Simplify right side
    1,337.67x = 1,366,377.72
  5. Step 5: Solve for x
    x = 1,366,377.72/1,337.67
  6. Step 6: Final answer
    x = 1,021.46

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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.