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Finding the Fourth Proportional to 2,874.18, 4,306.23 and 2,048.16

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Solution

The fourth proportional to 2,874.18, 4,306.23 and 2,048.16 is: 3,068.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,874.18 : 4,306.23 = 2,048.16 : x
  2. Step 2: Convert to fraction form
    2,874.18/4,306.23 = 2,048.16/x
  3. Step 3: Cross multiply
    2,874.18x = 4,306.23 × 2,048.16
  4. Step 4: Simplify right side
    2,874.18x = 8,819,848.04
  5. Step 5: Solve for x
    x = 8,819,848.04/2,874.18
  6. Step 6: Final answer
    x = 3,068.65

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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.