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Finding the Fourth Proportional to 1,767.76, 2,437.14 and 1,518

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Solution

The fourth proportional to 1,767.76, 2,437.14 and 1,518 is: 2,092.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,767.76 : 2,437.14 = 1,518 : x
  2. Step 2: Convert to fraction form
    1,767.76/2,437.14 = 1,518/x
  3. Step 3: Cross multiply
    1,767.76x = 2,437.14 × 1,518
  4. Step 4: Simplify right side
    1,767.76x = 3,699,578.52
  5. Step 5: Solve for x
    x = 3,699,578.52/1,767.76
  6. Step 6: Final answer
    x = 2,092.81

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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.