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Finding the Fourth Proportional to 1,707.35, 2,558.31 and 1,243

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Solution

The fourth proportional to 1,707.35, 2,558.31 and 1,243 is: 1,862.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,707.35 : 2,558.31 = 1,243 : x
  2. Step 2: Convert to fraction form
    1,707.35/2,558.31 = 1,243/x
  3. Step 3: Cross multiply
    1,707.35x = 2,558.31 × 1,243
  4. Step 4: Simplify right side
    1,707.35x = 3,179,979.33
  5. Step 5: Solve for x
    x = 3,179,979.33/1,707.35
  6. Step 6: Final answer
    x = 1,862.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.