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Finding the Fourth Proportional to 2,373.92, 3,275.64 and 1,429.64

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Solution

The fourth proportional to 2,373.92, 3,275.64 and 1,429.64 is: 1,972.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,373.92 : 3,275.64 = 1,429.64 : x
  2. Step 2: Convert to fraction form
    2,373.92/3,275.64 = 1,429.64/x
  3. Step 3: Cross multiply
    2,373.92x = 3,275.64 × 1,429.64
  4. Step 4: Simplify right side
    2,373.92x = 4,682,985.97
  5. Step 5: Solve for x
    x = 4,682,985.97/2,373.92
  6. Step 6: Final answer
    x = 1,972.68

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1.5x scale

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.