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Finding the Fourth Proportional to 2,947.32, 4,421.14 and 756.07

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Solution

The fourth proportional to 2,947.32, 4,421.14 and 756.07 is: 1,134.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,947.32 : 4,421.14 = 756.07 : x
  2. Step 2: Convert to fraction form
    2,947.32/4,421.14 = 756.07/x
  3. Step 3: Cross multiply
    2,947.32x = 4,421.14 × 756.07
  4. Step 4: Simplify right side
    2,947.32x = 3,342,678.38
  5. Step 5: Solve for x
    x = 3,342,678.38/2,947.32
  6. Step 6: Final answer
    x = 1,134.14

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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.