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Finding the Fourth Proportional to 3,387.84, 4,675.23 and 1,990.50

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Solution

The fourth proportional to 3,387.84, 4,675.23 and 1,990.50 is: 2,746.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,387.84 : 4,675.23 = 1,990.50 : x
  2. Step 2: Convert to fraction form
    3,387.84/4,675.23 = 1,990.50/x
  3. Step 3: Cross multiply
    3,387.84x = 4,675.23 × 1,990.50
  4. Step 4: Simplify right side
    3,387.84x = 9,306,045.32
  5. Step 5: Solve for x
    x = 9,306,045.32/3,387.84
  6. Step 6: Final answer
    x = 2,746.90

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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.