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Finding the Fourth Proportional to 1,856.52, 2,785.06 and 882.08

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Solution

The fourth proportional to 1,856.52, 2,785.06 and 882.08 is: 1,323.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,856.52 : 2,785.06 = 882.08 : x
  2. Step 2: Convert to fraction form
    1,856.52/2,785.06 = 882.08/x
  3. Step 3: Cross multiply
    1,856.52x = 2,785.06 × 882.08
  4. Step 4: Simplify right side
    1,856.52x = 2,456,645.72
  5. Step 5: Solve for x
    x = 2,456,645.72/1,856.52
  6. Step 6: Final answer
    x = 1,323.25

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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.