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Finding the Fourth Proportional to 1,468.61, 2,026.69 and 879.15

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Solution

The fourth proportional to 1,468.61, 2,026.69 and 879.15 is: 1,213.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,468.61 : 2,026.69 = 879.15 : x
  2. Step 2: Convert to fraction form
    1,468.61/2,026.69 = 879.15/x
  3. Step 3: Cross multiply
    1,468.61x = 2,026.69 × 879.15
  4. Step 4: Simplify right side
    1,468.61x = 1,781,764.51
  5. Step 5: Solve for x
    x = 1,781,764.51/1,468.61
  6. Step 6: Final answer
    x = 1,213.23

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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.