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Finding the Fourth Proportional to 2,952.90, 4,429.71 and 1,005.66

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Solution

The fourth proportional to 2,952.90, 4,429.71 and 1,005.66 is: 1,508.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,952.90 : 4,429.71 = 1,005.66 : x
  2. Step 2: Convert to fraction form
    2,952.90/4,429.71 = 1,005.66/x
  3. Step 3: Cross multiply
    2,952.90x = 4,429.71 × 1,005.66
  4. Step 4: Simplify right side
    2,952.90x = 4,454,782.16
  5. Step 5: Solve for x
    x = 4,454,782.16/2,952.90
  6. Step 6: Final answer
    x = 1,508.61

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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.