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Finding the Fourth Proportional to 2,700.61, 3,726.80 and 1,582.12

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Solution

The fourth proportional to 2,700.61, 3,726.80 and 1,582.12 is: 2,183.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,700.61 : 3,726.80 = 1,582.12 : x
  2. Step 2: Convert to fraction form
    2,700.61/3,726.80 = 1,582.12/x
  3. Step 3: Cross multiply
    2,700.61x = 3,726.80 × 1,582.12
  4. Step 4: Simplify right side
    2,700.61x = 5,896,244.82
  5. Step 5: Solve for x
    x = 5,896,244.82/2,700.61
  6. Step 6: Final answer
    x = 2,183.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.