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Finding the Fourth Proportional to 1,259.76, 1,738.35 and 1,166.88

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Solution

The fourth proportional to 1,259.76, 1,738.35 and 1,166.88 is: 1,610.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,259.76 : 1,738.35 = 1,166.88 : x
  2. Step 2: Convert to fraction form
    1,259.76/1,738.35 = 1,166.88/x
  3. Step 3: Cross multiply
    1,259.76x = 1,738.35 × 1,166.88
  4. Step 4: Simplify right side
    1,259.76x = 2,028,445.85
  5. Step 5: Solve for x
    x = 2,028,445.85/1,259.76
  6. Step 6: Final answer
    x = 1,610.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.