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Finding the Fourth Proportional to 2,301.69, 3,177.50 and 1,418.00

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Solution

The fourth proportional to 2,301.69, 3,177.50 and 1,418.00 is: 1,957.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,301.69 : 3,177.50 = 1,418.00 : x
  2. Step 2: Convert to fraction form
    2,301.69/3,177.50 = 1,418.00/x
  3. Step 3: Cross multiply
    2,301.69x = 3,177.50 × 1,418.00
  4. Step 4: Simplify right side
    2,301.69x = 4,505,672.02
  5. Step 5: Solve for x
    x = 4,505,672.02/2,301.69
  6. Step 6: Final answer
    x = 1,957.55

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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.