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Finding the Fourth Proportional to 2,307.68, 3,461.49 and 576.30

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Solution

The fourth proportional to 2,307.68, 3,461.49 and 576.30 is: 864.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,307.68 : 3,461.49 = 576.30 : x
  2. Step 2: Convert to fraction form
    2,307.68/3,461.49 = 576.30/x
  3. Step 3: Cross multiply
    2,307.68x = 3,461.49 × 576.30
  4. Step 4: Simplify right side
    2,307.68x = 1,994,856.69
  5. Step 5: Solve for x
    x = 1,994,856.69/2,307.68
  6. Step 6: Final answer
    x = 864.44

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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.