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Finding the Fourth Proportional to 2,366.42, 3,549.80 and 723.08

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Solution

The fourth proportional to 2,366.42, 3,549.80 and 723.08 is: 1,084.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,366.42 : 3,549.80 = 723.08 : x
  2. Step 2: Convert to fraction form
    2,366.42/3,549.80 = 723.08/x
  3. Step 3: Cross multiply
    2,366.42x = 3,549.80 × 723.08
  4. Step 4: Simplify right side
    2,366.42x = 2,566,800.07
  5. Step 5: Solve for x
    x = 2,566,800.07/2,366.42
  6. Step 6: Final answer
    x = 1,084.68

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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.