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Finding the Fourth Proportional to 1,408.80, 2,117.40 and 1,166.88

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Solution

The fourth proportional to 1,408.80, 2,117.40 and 1,166.88 is: 1,753.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,408.80 : 2,117.40 = 1,166.88 : x
  2. Step 2: Convert to fraction form
    1,408.80/2,117.40 = 1,166.88/x
  3. Step 3: Cross multiply
    1,408.80x = 2,117.40 × 1,166.88
  4. Step 4: Simplify right side
    1,408.80x = 2,470,751.71
  5. Step 5: Solve for x
    x = 2,470,751.71/1,408.80
  6. Step 6: Final answer
    x = 1,753.80

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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.