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Finding the Fourth Proportional to 2,823.65, 4,229.40 and 2,337.65

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Solution

The fourth proportional to 2,823.65, 4,229.40 and 2,337.65 is: 3,501.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,823.65 : 4,229.40 = 2,337.65 : x
  2. Step 2: Convert to fraction form
    2,823.65/4,229.40 = 2,337.65/x
  3. Step 3: Cross multiply
    2,823.65x = 4,229.40 × 2,337.65
  4. Step 4: Simplify right side
    2,823.65x = 9,886,856.91
  5. Step 5: Solve for x
    x = 9,886,856.91/2,823.65
  6. Step 6: Final answer
    x = 3,501.45

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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.