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Finding the Fourth Proportional to 1,871.69, 2,583.07 and 1,085.86

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Solution

The fourth proportional to 1,871.69, 2,583.07 and 1,085.86 is: 1,498.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,871.69 : 2,583.07 = 1,085.86 : x
  2. Step 2: Convert to fraction form
    1,871.69/2,583.07 = 1,085.86/x
  3. Step 3: Cross multiply
    1,871.69x = 2,583.07 × 1,085.86
  4. Step 4: Simplify right side
    1,871.69x = 2,804,839.47
  5. Step 5: Solve for x
    x = 2,804,839.47/1,871.69
  6. Step 6: Final answer
    x = 1,498.56

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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.