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Finding the Fourth Proportional to 1,924.97, 2,656.54 and 1,085.71

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Solution

The fourth proportional to 1,924.97, 2,656.54 and 1,085.71 is: 1,498.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,924.97 : 2,656.54 = 1,085.71 : x
  2. Step 2: Convert to fraction form
    1,924.97/2,656.54 = 1,085.71/x
  3. Step 3: Cross multiply
    1,924.97x = 2,656.54 × 1,085.71
  4. Step 4: Simplify right side
    1,924.97x = 2,884,232.04
  5. Step 5: Solve for x
    x = 2,884,232.04/1,924.97
  6. Step 6: Final answer
    x = 1,498.33

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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.