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Finding the Fourth Proportional to 1,902.98, 2,626.18 and 1,063.74

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Solution

The fourth proportional to 1,902.98, 2,626.18 and 1,063.74 is: 1,468.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,902.98 : 2,626.18 = 1,063.74 : x
  2. Step 2: Convert to fraction form
    1,902.98/2,626.18 = 1,063.74/x
  3. Step 3: Cross multiply
    1,902.98x = 2,626.18 × 1,063.74
  4. Step 4: Simplify right side
    1,902.98x = 2,793,572.71
  5. Step 5: Solve for x
    x = 2,793,572.71/1,902.98
  6. Step 6: Final answer
    x = 1,468.00

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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.