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Finding the Fourth Proportional to 2,988.58, 4,127.34 and 2,234.20

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Solution

The fourth proportional to 2,988.58, 4,127.34 and 2,234.20 is: 3,085.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,988.58 : 4,127.34 = 2,234.20 : x
  2. Step 2: Convert to fraction form
    2,988.58/4,127.34 = 2,234.20/x
  3. Step 3: Cross multiply
    2,988.58x = 4,127.34 × 2,234.20
  4. Step 4: Simplify right side
    2,988.58x = 9,221,303.03
  5. Step 5: Solve for x
    x = 9,221,303.03/2,988.58
  6. Step 6: Final answer
    x = 3,085.51

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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.