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Finding the Fourth Proportional to 2,952.08, 4,428.06 and 760.78

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Solution

The fourth proportional to 2,952.08, 4,428.06 and 760.78 is: 1,141.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,952.08 : 4,428.06 = 760.78 : x
  2. Step 2: Convert to fraction form
    2,952.08/4,428.06 = 760.78/x
  3. Step 3: Cross multiply
    2,952.08x = 4,428.06 × 760.78
  4. Step 4: Simplify right side
    2,952.08x = 3,368,779.49
  5. Step 5: Solve for x
    x = 3,368,779.49/2,952.08
  6. Step 6: Final answer
    x = 1,141.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.