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Finding the Fourth Proportional to 1,497.68, 2,067.04 and 1,142.93

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Solution

The fourth proportional to 1,497.68, 2,067.04 and 1,142.93 is: 1,577.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,497.68 : 2,067.04 = 1,142.93 : x
  2. Step 2: Convert to fraction form
    1,497.68/2,067.04 = 1,142.93/x
  3. Step 3: Cross multiply
    1,497.68x = 2,067.04 × 1,142.93
  4. Step 4: Simplify right side
    1,497.68x = 2,362,468.83
  5. Step 5: Solve for x
    x = 2,362,468.83/1,497.68
  6. Step 6: Final answer
    x = 1,577.42

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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.