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Finding the Fourth Proportional to 1,866.15, 2,572.57 and 1,304.88

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Solution

The fourth proportional to 1,866.15, 2,572.57 and 1,304.88 is: 1,798.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,866.15 : 2,572.57 = 1,304.88 : x
  2. Step 2: Convert to fraction form
    1,866.15/2,572.57 = 1,304.88/x
  3. Step 3: Cross multiply
    1,866.15x = 2,572.57 × 1,304.88
  4. Step 4: Simplify right side
    1,866.15x = 3,356,895.14
  5. Step 5: Solve for x
    x = 3,356,895.14/1,866.15
  6. Step 6: Final answer
    x = 1,798.83

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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.