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Finding the Fourth Proportional to 2,166.36, 3,242.80 and 1,176.70

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Solution

The fourth proportional to 2,166.36, 3,242.80 and 1,176.70 is: 1,761.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,166.36 : 3,242.80 = 1,176.70 : x
  2. Step 2: Convert to fraction form
    2,166.36/3,242.80 = 1,176.70/x
  3. Step 3: Cross multiply
    2,166.36x = 3,242.80 × 1,176.70
  4. Step 4: Simplify right side
    2,166.36x = 3,815,802.76
  5. Step 5: Solve for x
    x = 3,815,802.76/2,166.36
  6. Step 6: Final answer
    x = 1,761.39

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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.