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Finding the Fourth Proportional to 1,987.69, 2,740.08 and 1,514.76

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Solution

The fourth proportional to 1,987.69, 2,740.08 and 1,514.76 is: 2,088.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,987.69 : 2,740.08 = 1,514.76 : x
  2. Step 2: Convert to fraction form
    1,987.69/2,740.08 = 1,514.76/x
  3. Step 3: Cross multiply
    1,987.69x = 2,740.08 × 1,514.76
  4. Step 4: Simplify right side
    1,987.69x = 4,150,569.73
  5. Step 5: Solve for x
    x = 4,150,569.73/1,987.69
  6. Step 6: Final answer
    x = 2,088.14

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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.