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Finding the Fourth Proportional to 2,686.96, 4,031.60 and 1,455.25

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Solution

The fourth proportional to 2,686.96, 4,031.60 and 1,455.25 is: 2,183.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,686.96 : 4,031.60 = 1,455.25 : x
  2. Step 2: Convert to fraction form
    2,686.96/4,031.60 = 1,455.25/x
  3. Step 3: Cross multiply
    2,686.96x = 4,031.60 × 1,455.25
  4. Step 4: Simplify right side
    2,686.96x = 5,866,985.90
  5. Step 5: Solve for x
    x = 5,866,985.90/2,686.96
  6. Step 6: Final answer
    x = 2,183.50

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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.