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Finding the Fourth Proportional to 2,897.98, 4,009.75 and 2,525.73

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Solution

The fourth proportional to 2,897.98, 4,009.75 and 2,525.73 is: 3,494.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,897.98 : 4,009.75 = 2,525.73 : x
  2. Step 2: Convert to fraction form
    2,897.98/4,009.75 = 2,525.73/x
  3. Step 3: Cross multiply
    2,897.98x = 4,009.75 × 2,525.73
  4. Step 4: Simplify right side
    2,897.98x = 10,127,561.28
  5. Step 5: Solve for x
    x = 10,127,561.28/2,897.98
  6. Step 6: Final answer
    x = 3,494.70

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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.