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Finding the Fourth Proportional to 3,146.34, 4,719.51 and 955.29

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Solution

The fourth proportional to 3,146.34, 4,719.51 and 955.29 is: 1,432.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,146.34 : 4,719.51 = 955.29 : x
  2. Step 2: Convert to fraction form
    3,146.34/4,719.51 = 955.29/x
  3. Step 3: Cross multiply
    3,146.34x = 4,719.51 × 955.29
  4. Step 4: Simplify right side
    3,146.34x = 4,508,500.71
  5. Step 5: Solve for x
    x = 4,508,500.71/3,146.34
  6. Step 6: Final answer
    x = 1,432.94

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1.5x scale

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.