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Finding the Fourth Proportional to 1,765.63, 2,646.28 and 1,033.66

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Solution

The fourth proportional to 1,765.63, 2,646.28 and 1,033.66 is: 1,549.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,765.63 : 2,646.28 = 1,033.66 : x
  2. Step 2: Convert to fraction form
    1,765.63/2,646.28 = 1,033.66/x
  3. Step 3: Cross multiply
    1,765.63x = 2,646.28 × 1,033.66
  4. Step 4: Simplify right side
    1,765.63x = 2,735,353.78
  5. Step 5: Solve for x
    x = 2,735,353.78/1,765.63
  6. Step 6: Final answer
    x = 1,549.22

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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.