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Finding the Fourth Proportional to 2,427.95, 3,643.13 and 1,193.91

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Solution

The fourth proportional to 2,427.95, 3,643.13 and 1,193.91 is: 1,791.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,427.95 : 3,643.13 = 1,193.91 : x
  2. Step 2: Convert to fraction form
    2,427.95/3,643.13 = 1,193.91/x
  3. Step 3: Cross multiply
    2,427.95x = 3,643.13 × 1,193.91
  4. Step 4: Simplify right side
    2,427.95x = 4,349,572.32
  5. Step 5: Solve for x
    x = 4,349,572.32/2,427.95
  6. Step 6: Final answer
    x = 1,791.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.