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Finding the Fourth Proportional to 1,648.07, 2,473.12 and 1,494.27

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Solution

The fourth proportional to 1,648.07, 2,473.12 and 1,494.27 is: 2,242.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648.07 : 2,473.12 = 1,494.27 : x
  2. Step 2: Convert to fraction form
    1,648.07/2,473.12 = 1,494.27/x
  3. Step 3: Cross multiply
    1,648.07x = 2,473.12 × 1,494.27
  4. Step 4: Simplify right side
    1,648.07x = 3,695,505.29
  5. Step 5: Solve for x
    x = 3,695,505.29/1,648.07
  6. Step 6: Final answer
    x = 2,242.32

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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.