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Finding the Fourth Proportional to 1,497.41, 2,067.14 and 1,160.55

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Solution

The fourth proportional to 1,497.41, 2,067.14 and 1,160.55 is: 1,602.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,497.41 : 2,067.14 = 1,160.55 : x
  2. Step 2: Convert to fraction form
    1,497.41/2,067.14 = 1,160.55/x
  3. Step 3: Cross multiply
    1,497.41x = 2,067.14 × 1,160.55
  4. Step 4: Simplify right side
    1,497.41x = 2,399,008.99
  5. Step 5: Solve for x
    x = 2,399,008.99/1,497.41
  6. Step 6: Final answer
    x = 1,602.11

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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.