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Finding the Fourth Proportional to 2,952, 4,073.76 and 1,710.24

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Solution

The fourth proportional to 2,952, 4,073.76 and 1,710.24 is: 2,360.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,952 : 4,073.76 = 1,710.24 : x
  2. Step 2: Convert to fraction form
    2,952/4,073.76 = 1,710.24/x
  3. Step 3: Cross multiply
    2,952x = 4,073.76 × 1,710.24
  4. Step 4: Simplify right side
    2,952x = 6,967,107.30
  5. Step 5: Solve for x
    x = 6,967,107.30/2,952
  6. Step 6: Final answer
    x = 2,360.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.