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Finding the Fourth Proportional to 2,337.12, 3,224.07 and 1,529.10

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Solution

The fourth proportional to 2,337.12, 3,224.07 and 1,529.10 is: 2,109.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,337.12 : 3,224.07 = 1,529.10 : x
  2. Step 2: Convert to fraction form
    2,337.12/3,224.07 = 1,529.10/x
  3. Step 3: Cross multiply
    2,337.12x = 3,224.07 × 1,529.10
  4. Step 4: Simplify right side
    2,337.12x = 4,929,925.44
  5. Step 5: Solve for x
    x = 4,929,925.44/2,337.12
  6. Step 6: Final answer
    x = 2,109.40

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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.