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Finding the Fourth Proportional to 1,765.25, 2,646.25 and 610.19

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Solution

The fourth proportional to 1,765.25, 2,646.25 and 610.19 is: 914.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,765.25 : 2,646.25 = 610.19 : x
  2. Step 2: Convert to fraction form
    1,765.25/2,646.25 = 610.19/x
  3. Step 3: Cross multiply
    1,765.25x = 2,646.25 × 610.19
  4. Step 4: Simplify right side
    1,765.25x = 1,614,715.29
  5. Step 5: Solve for x
    x = 1,614,715.29/1,765.25
  6. Step 6: Final answer
    x = 914.72

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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.