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Finding the Fourth Proportional to 1,986.93, 2,741.65 and 1,102.71

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Solution

The fourth proportional to 1,986.93, 2,741.65 and 1,102.71 is: 1,521.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,986.93 : 2,741.65 = 1,102.71 : x
  2. Step 2: Convert to fraction form
    1,986.93/2,741.65 = 1,102.71/x
  3. Step 3: Cross multiply
    1,986.93x = 2,741.65 × 1,102.71
  4. Step 4: Simplify right side
    1,986.93x = 3,023,252.40
  5. Step 5: Solve for x
    x = 3,023,252.40/1,986.93
  6. Step 6: Final answer
    x = 1,521.57

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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.