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Finding the Fourth Proportional to 2,482.55, 3,724.89 and 923.70

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Solution

The fourth proportional to 2,482.55, 3,724.89 and 923.70 is: 1,385.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,482.55 : 3,724.89 = 923.70 : x
  2. Step 2: Convert to fraction form
    2,482.55/3,724.89 = 923.70/x
  3. Step 3: Cross multiply
    2,482.55x = 3,724.89 × 923.70
  4. Step 4: Simplify right side
    2,482.55x = 3,440,691.40
  5. Step 5: Solve for x
    x = 3,440,691.40/2,482.55
  6. Step 6: Final answer
    x = 1,385.95

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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.