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Finding the Fourth Proportional to 3,145.91, 4,718.88 and 954.66

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Solution

The fourth proportional to 3,145.91, 4,718.88 and 954.66 is: 1,432.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,145.91 : 4,718.88 = 954.66 : x
  2. Step 2: Convert to fraction form
    3,145.91/4,718.88 = 954.66/x
  3. Step 3: Cross multiply
    3,145.91x = 4,718.88 × 954.66
  4. Step 4: Simplify right side
    3,145.91x = 4,504,925.98
  5. Step 5: Solve for x
    x = 4,504,925.98/3,145.91
  6. Step 6: Final answer
    x = 1,432.00

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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.