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Finding the Fourth Proportional to 1,871.04, 2,581.80 and 1,085.08

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Solution

The fourth proportional to 1,871.04, 2,581.80 and 1,085.08 is: 1,497.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,871.04 : 2,581.80 = 1,085.08 : x
  2. Step 2: Convert to fraction form
    1,871.04/2,581.80 = 1,085.08/x
  3. Step 3: Cross multiply
    1,871.04x = 2,581.80 × 1,085.08
  4. Step 4: Simplify right side
    1,871.04x = 2,801,459.54
  5. Step 5: Solve for x
    x = 2,801,459.54/1,871.04
  6. Step 6: Final answer
    x = 1,497.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.