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Finding the Fourth Proportional to 1,357.76, 1,872.92 and 914.90

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Solution

The fourth proportional to 1,357.76, 1,872.92 and 914.90 is: 1,262.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,357.76 : 1,872.92 = 914.90 : x
  2. Step 2: Convert to fraction form
    1,357.76/1,872.92 = 914.90/x
  3. Step 3: Cross multiply
    1,357.76x = 1,872.92 × 914.90
  4. Step 4: Simplify right side
    1,357.76x = 1,713,527.43
  5. Step 5: Solve for x
    x = 1,713,527.43/1,357.76
  6. Step 6: Final answer
    x = 1,262.02

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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.