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Finding the Fourth Proportional to 2,308.67, 3,463.01 and 577.30

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Solution

The fourth proportional to 2,308.67, 3,463.01 and 577.30 is: 865.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,308.67 : 3,463.01 = 577.30 : x
  2. Step 2: Convert to fraction form
    2,308.67/3,463.01 = 577.30/x
  3. Step 3: Cross multiply
    2,308.67x = 3,463.01 × 577.30
  4. Step 4: Simplify right side
    2,308.67x = 1,999,175.47
  5. Step 5: Solve for x
    x = 1,999,175.47/2,308.67
  6. Step 6: Final answer
    x = 865.94

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1.5x scale

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.