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Finding the Fourth Proportional to 2,902.32, 4,353.48 and 2,034

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Solution

The fourth proportional to 2,902.32, 4,353.48 and 2,034 is: 3,051.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,902.32 : 4,353.48 = 2,034 : x
  2. Step 2: Convert to fraction form
    2,902.32/4,353.48 = 2,034/x
  3. Step 3: Cross multiply
    2,902.32x = 4,353.48 × 2,034
  4. Step 4: Simplify right side
    2,902.32x = 8,854,978.32
  5. Step 5: Solve for x
    x = 8,854,978.32/2,902.32
  6. Step 6: Final answer
    x = 3,051.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.