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Finding the Fourth Proportional to 2,897.80, 4,003.50 and 2,664.52

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Solution

The fourth proportional to 2,897.80, 4,003.50 and 2,664.52 is: 3,681.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,897.80 : 4,003.50 = 2,664.52 : x
  2. Step 2: Convert to fraction form
    2,897.80/4,003.50 = 2,664.52/x
  3. Step 3: Cross multiply
    2,897.80x = 4,003.50 × 2,664.52
  4. Step 4: Simplify right side
    2,897.80x = 10,667,405.82
  5. Step 5: Solve for x
    x = 10,667,405.82/2,897.80
  6. Step 6: Final answer
    x = 3,681.21

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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.