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Finding the Fourth Proportional to 1,942.86, 2,681.13 and 1,058.65

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Solution

The fourth proportional to 1,942.86, 2,681.13 and 1,058.65 is: 1,460.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,942.86 : 2,681.13 = 1,058.65 : x
  2. Step 2: Convert to fraction form
    1,942.86/2,681.13 = 1,058.65/x
  3. Step 3: Cross multiply
    1,942.86x = 2,681.13 × 1,058.65
  4. Step 4: Simplify right side
    1,942.86x = 2,838,359.58
  5. Step 5: Solve for x
    x = 2,838,359.58/1,942.86
  6. Step 6: Final answer
    x = 1,460.92

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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.