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Finding the Fourth Proportional to 1,542.74, 2,123.62 and 1,345.90

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Solution

The fourth proportional to 1,542.74, 2,123.62 and 1,345.90 is: 1,852.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,542.74 : 2,123.62 = 1,345.90 : x
  2. Step 2: Convert to fraction form
    1,542.74/2,123.62 = 1,345.90/x
  3. Step 3: Cross multiply
    1,542.74x = 2,123.62 × 1,345.90
  4. Step 4: Simplify right side
    1,542.74x = 2,858,180.16
  5. Step 5: Solve for x
    x = 2,858,180.16/1,542.74
  6. Step 6: Final answer
    x = 1,852.66

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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.