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Finding the Fourth Proportional to 1,988.60, 2,743.02 and 1,281.38

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Solution

The fourth proportional to 1,988.60, 2,743.02 and 1,281.38 is: 1,767.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,988.60 : 2,743.02 = 1,281.38 : x
  2. Step 2: Convert to fraction form
    1,988.60/2,743.02 = 1,281.38/x
  3. Step 3: Cross multiply
    1,988.60x = 2,743.02 × 1,281.38
  4. Step 4: Simplify right side
    1,988.60x = 3,514,837.25
  5. Step 5: Solve for x
    x = 3,514,837.25/1,988.60
  6. Step 6: Final answer
    x = 1,767.50

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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.