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Finding the Fourth Proportional to 2,897.57, 4,001.93 and 1,951.71

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Solution

The fourth proportional to 2,897.57, 4,001.93 and 1,951.71 is: 2,695.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,897.57 : 4,001.93 = 1,951.71 : x
  2. Step 2: Convert to fraction form
    2,897.57/4,001.93 = 1,951.71/x
  3. Step 3: Cross multiply
    2,897.57x = 4,001.93 × 1,951.71
  4. Step 4: Simplify right side
    2,897.57x = 7,810,606.80
  5. Step 5: Solve for x
    x = 7,810,606.80/2,897.57
  6. Step 6: Final answer
    x = 2,695.57

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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.