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Finding the Fourth Proportional to 2,307.66, 3,462.66 and 1,009.14

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Solution

The fourth proportional to 2,307.66, 3,462.66 and 1,009.14 is: 1,514.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,307.66 : 3,462.66 = 1,009.14 : x
  2. Step 2: Convert to fraction form
    2,307.66/3,462.66 = 1,009.14/x
  3. Step 3: Cross multiply
    2,307.66x = 3,462.66 × 1,009.14
  4. Step 4: Simplify right side
    2,307.66x = 3,494,308.71
  5. Step 5: Solve for x
    x = 3,494,308.71/2,307.66
  6. Step 6: Final answer
    x = 1,514.22

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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.