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Finding the Fourth Proportional to 1,758.48, 2,632.65 and 1,166.16

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Solution

The fourth proportional to 1,758.48, 2,632.65 and 1,166.16 is: 1,745.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,758.48 : 2,632.65 = 1,166.16 : x
  2. Step 2: Convert to fraction form
    1,758.48/2,632.65 = 1,166.16/x
  3. Step 3: Cross multiply
    1,758.48x = 2,632.65 × 1,166.16
  4. Step 4: Simplify right side
    1,758.48x = 3,070,091.12
  5. Step 5: Solve for x
    x = 3,070,091.12/1,758.48
  6. Step 6: Final answer
    x = 1,745.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.