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Finding the Fourth Proportional to 1,761, 2,428.74 and 1,290.66

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Solution

The fourth proportional to 1,761, 2,428.74 and 1,290.66 is: 1,780.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,761 : 2,428.74 = 1,290.66 : x
  2. Step 2: Convert to fraction form
    1,761/2,428.74 = 1,290.66/x
  3. Step 3: Cross multiply
    1,761x = 2,428.74 × 1,290.66
  4. Step 4: Simplify right side
    1,761x = 3,134,677.57
  5. Step 5: Solve for x
    x = 3,134,677.57/1,761
  6. Step 6: Final answer
    x = 1,780.06

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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.