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Finding the Fourth Proportional to 2,902.98, 4,352.34 and 1,864.16

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Solution

The fourth proportional to 2,902.98, 4,352.34 and 1,864.16 is: 2,794.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,902.98 : 4,352.34 = 1,864.16 : x
  2. Step 2: Convert to fraction form
    2,902.98/4,352.34 = 1,864.16/x
  3. Step 3: Cross multiply
    2,902.98x = 4,352.34 × 1,864.16
  4. Step 4: Simplify right side
    2,902.98x = 8,113,458.13
  5. Step 5: Solve for x
    x = 8,113,458.13/2,902.98
  6. Step 6: Final answer
    x = 2,794.87

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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.