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Finding the Fourth Proportional to 2,307.68, 3,461.54 and 576.31

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Solution

The fourth proportional to 2,307.68, 3,461.54 and 576.31 is: 864.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,307.68 : 3,461.54 = 576.31 : x
  2. Step 2: Convert to fraction form
    2,307.68/3,461.54 = 576.31/x
  3. Step 3: Cross multiply
    2,307.68x = 3,461.54 × 576.31
  4. Step 4: Simplify right side
    2,307.68x = 1,994,908.58
  5. Step 5: Solve for x
    x = 1,994,908.58/2,307.68
  6. Step 6: Final answer
    x = 864.46

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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.