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Finding the Fourth Proportional to 2,116.70, 3,175.25 and 577.70

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Solution

The fourth proportional to 2,116.70, 3,175.25 and 577.70 is: 866.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,116.70 : 3,175.25 = 577.70 : x
  2. Step 2: Convert to fraction form
    2,116.70/3,175.25 = 577.70/x
  3. Step 3: Cross multiply
    2,116.70x = 3,175.25 × 577.70
  4. Step 4: Simplify right side
    2,116.70x = 1,834,323.16
  5. Step 5: Solve for x
    x = 1,834,323.16/2,116.70
  6. Step 6: Final answer
    x = 866.60

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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.