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Finding the Fourth Proportional to 2,876.03, 3,970.89 and 2,202.65

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Solution

The fourth proportional to 2,876.03, 3,970.89 and 2,202.65 is: 3,041.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,876.03 : 3,970.89 = 2,202.65 : x
  2. Step 2: Convert to fraction form
    2,876.03/3,970.89 = 2,202.65/x
  3. Step 3: Cross multiply
    2,876.03x = 3,970.89 × 2,202.65
  4. Step 4: Simplify right side
    2,876.03x = 8,746,475.89
  5. Step 5: Solve for x
    x = 8,746,475.89/2,876.03
  6. Step 6: Final answer
    x = 3,041.16

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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.