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Finding the Fourth Proportional to 2,306.88, 3,461.60 and 1,009.44

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Solution

The fourth proportional to 2,306.88, 3,461.60 and 1,009.44 is: 1,514.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,306.88 : 3,461.60 = 1,009.44 : x
  2. Step 2: Convert to fraction form
    2,306.88/3,461.60 = 1,009.44/x
  3. Step 3: Cross multiply
    2,306.88x = 3,461.60 × 1,009.44
  4. Step 4: Simplify right side
    2,306.88x = 3,494,277.50
  5. Step 5: Solve for x
    x = 3,494,277.50/2,306.88
  6. Step 6: Final answer
    x = 1,514.72

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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.