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Finding the Fourth Proportional to 1,626.51, 2,244.92 and 1,102.71

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Solution

The fourth proportional to 1,626.51, 2,244.92 and 1,102.71 is: 1,521.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,626.51 : 2,244.92 = 1,102.71 : x
  2. Step 2: Convert to fraction form
    1,626.51/2,244.92 = 1,102.71/x
  3. Step 3: Cross multiply
    1,626.51x = 2,244.92 × 1,102.71
  4. Step 4: Simplify right side
    1,626.51x = 2,475,490.22
  5. Step 5: Solve for x
    x = 2,475,490.22/1,626.51
  6. Step 6: Final answer
    x = 1,521.96

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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.