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Finding the Fourth Proportional to 1,663.37, 2,295.93 and 1,166.13

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Solution

The fourth proportional to 1,663.37, 2,295.93 and 1,166.13 is: 1,609.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,663.37 : 2,295.93 = 1,166.13 : x
  2. Step 2: Convert to fraction form
    1,663.37/2,295.93 = 1,166.13/x
  3. Step 3: Cross multiply
    1,663.37x = 2,295.93 × 1,166.13
  4. Step 4: Simplify right side
    1,663.37x = 2,677,350.66
  5. Step 5: Solve for x
    x = 2,677,350.66/1,663.37
  6. Step 6: Final answer
    x = 1,609.60

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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.