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Finding the Fourth Proportional to 2,306.96, 3,455.48 and 1,655.44

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Solution

The fourth proportional to 2,306.96, 3,455.48 and 1,655.44 is: 2,479.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,306.96 : 3,455.48 = 1,655.44 : x
  2. Step 2: Convert to fraction form
    2,306.96/3,455.48 = 1,655.44/x
  3. Step 3: Cross multiply
    2,306.96x = 3,455.48 × 1,655.44
  4. Step 4: Simplify right side
    2,306.96x = 5,720,339.81
  5. Step 5: Solve for x
    x = 5,720,339.81/2,306.96
  6. Step 6: Final answer
    x = 2,479.60

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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.