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Finding the Fourth Proportional to 2,583.76, 3,565.56 and 1,404.85

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Solution

The fourth proportional to 2,583.76, 3,565.56 and 1,404.85 is: 1,938.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,583.76 : 3,565.56 = 1,404.85 : x
  2. Step 2: Convert to fraction form
    2,583.76/3,565.56 = 1,404.85/x
  3. Step 3: Cross multiply
    2,583.76x = 3,565.56 × 1,404.85
  4. Step 4: Simplify right side
    2,583.76x = 5,009,076.97
  5. Step 5: Solve for x
    x = 5,009,076.97/2,583.76
  6. Step 6: Final answer
    x = 1,938.68

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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.