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Finding the Fourth Proportional to 2,583.80, 3,565.63 and 1,404.85

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Solution

The fourth proportional to 2,583.80, 3,565.63 and 1,404.85 is: 1,938.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,583.80 : 3,565.63 = 1,404.85 : x
  2. Step 2: Convert to fraction form
    2,583.80/3,565.63 = 1,404.85/x
  3. Step 3: Cross multiply
    2,583.80x = 3,565.63 × 1,404.85
  4. Step 4: Simplify right side
    2,583.80x = 5,009,175.31
  5. Step 5: Solve for x
    x = 5,009,175.31/2,583.80
  6. Step 6: Final answer
    x = 1,938.69

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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.