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Finding the Fourth Proportional to 2,699.16, 3,726.56 and 2,202.98

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Solution

The fourth proportional to 2,699.16, 3,726.56 and 2,202.98 is: 3,041.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,699.16 : 3,726.56 = 2,202.98 : x
  2. Step 2: Convert to fraction form
    2,699.16/3,726.56 = 2,202.98/x
  3. Step 3: Cross multiply
    2,699.16x = 3,726.56 × 2,202.98
  4. Step 4: Simplify right side
    2,699.16x = 8,209,546.47
  5. Step 5: Solve for x
    x = 8,209,546.47/2,699.16
  6. Step 6: Final answer
    x = 3,041.52

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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.