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Finding the Fourth Proportional to 1,987.66, 2,740.68 and 1,613.48

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Solution

The fourth proportional to 1,987.66, 2,740.68 and 1,613.48 is: 2,224.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,987.66 : 2,740.68 = 1,613.48 : x
  2. Step 2: Convert to fraction form
    1,987.66/2,740.68 = 1,613.48/x
  3. Step 3: Cross multiply
    1,987.66x = 2,740.68 × 1,613.48
  4. Step 4: Simplify right side
    1,987.66x = 4,422,032.37
  5. Step 5: Solve for x
    x = 4,422,032.37/1,987.66
  6. Step 6: Final answer
    x = 2,224.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.