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Finding the Fourth Proportional to 2,116.30, 3,174.65 and 577.30

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Solution

The fourth proportional to 2,116.30, 3,174.65 and 577.30 is: 866.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,116.30 : 3,174.65 = 577.30 : x
  2. Step 2: Convert to fraction form
    2,116.30/3,174.65 = 577.30/x
  3. Step 3: Cross multiply
    2,116.30x = 3,174.65 × 577.30
  4. Step 4: Simplify right side
    2,116.30x = 1,832,725.45
  5. Step 5: Solve for x
    x = 1,832,725.45/2,116.30
  6. Step 6: Final answer
    x = 866.00

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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.