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Finding the Fourth Proportional to 1,987.61, 2,981.48 and 999.89

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Solution

The fourth proportional to 1,987.61, 2,981.48 and 999.89 is: 1,499.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,987.61 : 2,981.48 = 999.89 : x
  2. Step 2: Convert to fraction form
    1,987.61/2,981.48 = 999.89/x
  3. Step 3: Cross multiply
    1,987.61x = 2,981.48 × 999.89
  4. Step 4: Simplify right side
    1,987.61x = 2,981,145.83
  5. Step 5: Solve for x
    x = 2,981,145.83/1,987.61
  6. Step 6: Final answer
    x = 1,499.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.