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Finding the Fourth Proportional to 1,473.90, 2,034.94 and 914.97

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Solution

The fourth proportional to 1,473.90, 2,034.94 and 914.97 is: 1,263.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,473.90 : 2,034.94 = 914.97 : x
  2. Step 2: Convert to fraction form
    1,473.90/2,034.94 = 914.97/x
  3. Step 3: Cross multiply
    1,473.90x = 2,034.94 × 914.97
  4. Step 4: Simplify right side
    1,473.90x = 1,861,909.05
  5. Step 5: Solve for x
    x = 1,861,909.05/1,473.90
  6. Step 6: Final answer
    x = 1,263.25

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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.