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Finding the Fourth Proportional to 2,957.74, 4,079.63 and 2,398.23

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Solution

The fourth proportional to 2,957.74, 4,079.63 and 2,398.23 is: 3,307.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,957.74 : 4,079.63 = 2,398.23 : x
  2. Step 2: Convert to fraction form
    2,957.74/4,079.63 = 2,398.23/x
  3. Step 3: Cross multiply
    2,957.74x = 4,079.63 × 2,398.23
  4. Step 4: Simplify right side
    2,957.74x = 9,783,897.05
  5. Step 5: Solve for x
    x = 9,783,897.05/2,957.74
  6. Step 6: Final answer
    x = 3,307.90

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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.