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Finding the Fourth Proportional to 2,307.42, 3,461.07 and 576.04

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Solution

The fourth proportional to 2,307.42, 3,461.07 and 576.04 is: 864.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,307.42 : 3,461.07 = 576.04 : x
  2. Step 2: Convert to fraction form
    2,307.42/3,461.07 = 576.04/x
  3. Step 3: Cross multiply
    2,307.42x = 3,461.07 × 576.04
  4. Step 4: Simplify right side
    2,307.42x = 1,993,714.76
  5. Step 5: Solve for x
    x = 1,993,714.76/2,307.42
  6. Step 6: Final answer
    x = 864.05

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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.