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Finding the Fourth Proportional to 1,478.64, 2,041.18 and 954.92

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Solution

The fourth proportional to 1,478.64, 2,041.18 and 954.92 is: 1,318.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,478.64 : 2,041.18 = 954.92 : x
  2. Step 2: Convert to fraction form
    1,478.64/2,041.18 = 954.92/x
  3. Step 3: Cross multiply
    1,478.64x = 2,041.18 × 954.92
  4. Step 4: Simplify right side
    1,478.64x = 1,949,163.61
  5. Step 5: Solve for x
    x = 1,949,163.61/1,478.64
  6. Step 6: Final answer
    x = 1,318.21

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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.