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Finding the Fourth Proportional to 2,307.27, 3,461.10 and 1,009.65

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Solution

The fourth proportional to 2,307.27, 3,461.10 and 1,009.65 is: 1,514.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,307.27 : 3,461.10 = 1,009.65 : x
  2. Step 2: Convert to fraction form
    2,307.27/3,461.10 = 1,009.65/x
  3. Step 3: Cross multiply
    2,307.27x = 3,461.10 × 1,009.65
  4. Step 4: Simplify right side
    2,307.27x = 3,494,499.62
  5. Step 5: Solve for x
    x = 3,494,499.62/2,307.27
  6. Step 6: Final answer
    x = 1,514.56

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