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Finding the Fourth Proportional to 1,658.13, 2,485.51 and 1,042.27

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Solution

The fourth proportional to 1,658.13, 2,485.51 and 1,042.27 is: 1,562.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,658.13 : 2,485.51 = 1,042.27 : x
  2. Step 2: Convert to fraction form
    1,658.13/2,485.51 = 1,042.27/x
  3. Step 3: Cross multiply
    1,658.13x = 2,485.51 × 1,042.27
  4. Step 4: Simplify right side
    1,658.13x = 2,590,572.51
  5. Step 5: Solve for x
    x = 2,590,572.51/1,658.13
  6. Step 6: Final answer
    x = 1,562.35

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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.