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Finding the Fourth Proportional to 2,232.46, 3,335.90 and 1,702.46

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Solution

The fourth proportional to 2,232.46, 3,335.90 and 1,702.46 is: 2,543.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,232.46 : 3,335.90 = 1,702.46 : x
  2. Step 2: Convert to fraction form
    2,232.46/3,335.90 = 1,702.46/x
  3. Step 3: Cross multiply
    2,232.46x = 3,335.90 × 1,702.46
  4. Step 4: Simplify right side
    2,232.46x = 5,679,236.31
  5. Step 5: Solve for x
    x = 5,679,236.31/2,232.46
  6. Step 6: Final answer
    x = 2,543.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.