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Finding the Fourth Proportional to 2,366.15, 3,549.97 and 980.14

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Solution

The fourth proportional to 2,366.15, 3,549.97 and 980.14 is: 1,470.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,366.15 : 3,549.97 = 980.14 : x
  2. Step 2: Convert to fraction form
    2,366.15/3,549.97 = 980.14/x
  3. Step 3: Cross multiply
    2,366.15x = 3,549.97 × 980.14
  4. Step 4: Simplify right side
    2,366.15x = 3,479,473.83
  5. Step 5: Solve for x
    x = 3,479,473.83/2,366.15
  6. Step 6: Final answer
    x = 1,470.52

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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.