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Finding the Fourth Proportional to 2,574.52, 3,861.17 and 1,186.99

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Solution

The fourth proportional to 2,574.52, 3,861.17 and 1,186.99 is: 1,780.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,574.52 : 3,861.17 = 1,186.99 : x
  2. Step 2: Convert to fraction form
    2,574.52/3,861.17 = 1,186.99/x
  3. Step 3: Cross multiply
    2,574.52x = 3,861.17 × 1,186.99
  4. Step 4: Simplify right side
    2,574.52x = 4,583,159.04
  5. Step 5: Solve for x
    x = 4,583,159.04/2,574.52
  6. Step 6: Final answer
    x = 1,780.20

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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.