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Finding the Fourth Proportional to 3,146.16, 4,719.26 and 954.91

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Solution

The fourth proportional to 3,146.16, 4,719.26 and 954.91 is: 1,432.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,146.16 : 4,719.26 = 954.91 : x
  2. Step 2: Convert to fraction form
    3,146.16/4,719.26 = 954.91/x
  3. Step 3: Cross multiply
    3,146.16x = 4,719.26 × 954.91
  4. Step 4: Simplify right side
    3,146.16x = 4,506,468.57
  5. Step 5: Solve for x
    x = 4,506,468.57/3,146.16
  6. Step 6: Final answer
    x = 1,432.37

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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.