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Finding the Fourth Proportional to 2,307.87, 3,461.81 and 576.49

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Solution

The fourth proportional to 2,307.87, 3,461.81 and 576.49 is: 864.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,307.87 : 3,461.81 = 576.49 : x
  2. Step 2: Convert to fraction form
    2,307.87/3,461.81 = 576.49/x
  3. Step 3: Cross multiply
    2,307.87x = 3,461.81 × 576.49
  4. Step 4: Simplify right side
    2,307.87x = 1,995,703.54
  5. Step 5: Solve for x
    x = 1,995,703.54/2,307.87
  6. Step 6: Final answer
    x = 864.74

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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.