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Finding the Fourth Proportional to 2,952.23, 4,428.32 and 760.94

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Solution

The fourth proportional to 2,952.23, 4,428.32 and 760.94 is: 1,141.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,952.23 : 4,428.32 = 760.94 : x
  2. Step 2: Convert to fraction form
    2,952.23/4,428.32 = 760.94/x
  3. Step 3: Cross multiply
    2,952.23x = 4,428.32 × 760.94
  4. Step 4: Simplify right side
    2,952.23x = 3,369,676.48
  5. Step 5: Solve for x
    x = 3,369,676.48/2,952.23
  6. Step 6: Final answer
    x = 1,141.40

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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.