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Finding the Fourth Proportional to 1,875.75, 2,583.72 and 1,560.39

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Solution

The fourth proportional to 1,875.75, 2,583.72 and 1,560.39 is: 2,149.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,875.75 : 2,583.72 = 1,560.39 : x
  2. Step 2: Convert to fraction form
    1,875.75/2,583.72 = 1,560.39/x
  3. Step 3: Cross multiply
    1,875.75x = 2,583.72 × 1,560.39
  4. Step 4: Simplify right side
    1,875.75x = 4,031,610.85
  5. Step 5: Solve for x
    x = 4,031,610.85/1,875.75
  6. Step 6: Final answer
    x = 2,149.33

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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.