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Finding the Fourth Proportional to 2,307.92, 3,459.14 and 1,332

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Solution

The fourth proportional to 2,307.92, 3,459.14 and 1,332 is: 1,996.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,307.92 : 3,459.14 = 1,332 : x
  2. Step 2: Convert to fraction form
    2,307.92/3,459.14 = 1,332/x
  3. Step 3: Cross multiply
    2,307.92x = 3,459.14 × 1,332
  4. Step 4: Simplify right side
    2,307.92x = 4,607,574.48
  5. Step 5: Solve for x
    x = 4,607,574.48/2,307.92
  6. Step 6: Final answer
    x = 1,996.42

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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.