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Finding the Fourth Proportional to 3,407.70, 4,702.80 and 2,148.30

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Solution

The fourth proportional to 3,407.70, 4,702.80 and 2,148.30 is: 2,964.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,407.70 : 4,702.80 = 2,148.30 : x
  2. Step 2: Convert to fraction form
    3,407.70/4,702.80 = 2,148.30/x
  3. Step 3: Cross multiply
    3,407.70x = 4,702.80 × 2,148.30
  4. Step 4: Simplify right side
    3,407.70x = 10,103,025.24
  5. Step 5: Solve for x
    x = 10,103,025.24/3,407.70
  6. Step 6: Final answer
    x = 2,964.76

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1.5x scale

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.