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Finding the Fourth Proportional to 2,685.92, 4,027.36 and 954.24

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Solution

The fourth proportional to 2,685.92, 4,027.36 and 954.24 is: 1,430.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,685.92 : 4,027.36 = 954.24 : x
  2. Step 2: Convert to fraction form
    2,685.92/4,027.36 = 954.24/x
  3. Step 3: Cross multiply
    2,685.92x = 4,027.36 × 954.24
  4. Step 4: Simplify right side
    2,685.92x = 3,843,068.01
  5. Step 5: Solve for x
    x = 3,843,068.01/2,685.92
  6. Step 6: Final answer
    x = 1,430.82

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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.