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Finding the Fourth Proportional to 1,588.72, 2,378.82 and 1,039.54

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Solution

The fourth proportional to 1,588.72, 2,378.82 and 1,039.54 is: 1,556.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,588.72 : 2,378.82 = 1,039.54 : x
  2. Step 2: Convert to fraction form
    1,588.72/2,378.82 = 1,039.54/x
  3. Step 3: Cross multiply
    1,588.72x = 2,378.82 × 1,039.54
  4. Step 4: Simplify right side
    1,588.72x = 2,472,878.54
  5. Step 5: Solve for x
    x = 2,472,878.54/1,588.72
  6. Step 6: Final answer
    x = 1,556.52

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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.