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Finding the Fourth Proportional to 2,454.50, 3,681.79 and 723.13

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Solution

The fourth proportional to 2,454.50, 3,681.79 and 723.13 is: 1,084.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,454.50 : 3,681.79 = 723.13 : x
  2. Step 2: Convert to fraction form
    2,454.50/3,681.79 = 723.13/x
  3. Step 3: Cross multiply
    2,454.50x = 3,681.79 × 723.13
  4. Step 4: Simplify right side
    2,454.50x = 2,662,401.79
  5. Step 5: Solve for x
    x = 2,662,401.79/2,454.50
  6. Step 6: Final answer
    x = 1,084.70

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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.