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Finding the Fourth Proportional to 1,987.89, 2,740.68 and 1,711.10

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Solution

The fourth proportional to 1,987.89, 2,740.68 and 1,711.10 is: 2,359.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,987.89 : 2,740.68 = 1,711.10 : x
  2. Step 2: Convert to fraction form
    1,987.89/2,740.68 = 1,711.10/x
  3. Step 3: Cross multiply
    1,987.89x = 2,740.68 × 1,711.10
  4. Step 4: Simplify right side
    1,987.89x = 4,689,563.84
  5. Step 5: Solve for x
    x = 4,689,563.84/1,987.89
  6. Step 6: Final answer
    x = 2,359.07

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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.