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Finding the Fourth Proportional to 3,431.64, 5,148.70 and 1,350.50

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Solution

The fourth proportional to 3,431.64, 5,148.70 and 1,350.50 is: 2,026.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,431.64 : 5,148.70 = 1,350.50 : x
  2. Step 2: Convert to fraction form
    3,431.64/5,148.70 = 1,350.50/x
  3. Step 3: Cross multiply
    3,431.64x = 5,148.70 × 1,350.50
  4. Step 4: Simplify right side
    3,431.64x = 6,953,319.35
  5. Step 5: Solve for x
    x = 6,953,319.35/3,431.64
  6. Step 6: Final answer
    x = 2,026.24

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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.