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Finding the Fourth Proportional to 2,162.64, 3,247.87 and 1,988.99

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Solution

The fourth proportional to 2,162.64, 3,247.87 and 1,988.99 is: 2,987.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,162.64 : 3,247.87 = 1,988.99 : x
  2. Step 2: Convert to fraction form
    2,162.64/3,247.87 = 1,988.99/x
  3. Step 3: Cross multiply
    2,162.64x = 3,247.87 × 1,988.99
  4. Step 4: Simplify right side
    2,162.64x = 6,459,980.95
  5. Step 5: Solve for x
    x = 6,459,980.95/2,162.64
  6. Step 6: Final answer
    x = 2,987.08

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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.