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Finding the Fourth Proportional to 2,870.72, 4,295.81 and 2,250.16

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Solution

The fourth proportional to 2,870.72, 4,295.81 and 2,250.16 is: 3,367.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,870.72 : 4,295.81 = 2,250.16 : x
  2. Step 2: Convert to fraction form
    2,870.72/4,295.81 = 2,250.16/x
  3. Step 3: Cross multiply
    2,870.72x = 4,295.81 × 2,250.16
  4. Step 4: Simplify right side
    2,870.72x = 9,666,259.83
  5. Step 5: Solve for x
    x = 9,666,259.83/2,870.72
  6. Step 6: Final answer
    x = 3,367.19

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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.