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Finding the Fourth Proportional to 2,308.01, 3,461.94 and 576.63

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Solution

The fourth proportional to 2,308.01, 3,461.94 and 576.63 is: 864.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,308.01 : 3,461.94 = 576.63 : x
  2. Step 2: Convert to fraction form
    2,308.01/3,461.94 = 576.63/x
  3. Step 3: Cross multiply
    2,308.01x = 3,461.94 × 576.63
  4. Step 4: Simplify right side
    2,308.01x = 1,996,258.46
  5. Step 5: Solve for x
    x = 1,996,258.46/2,308.01
  6. Step 6: Final answer
    x = 864.93

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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.