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Finding the Fourth Proportional to 1,856.88, 2,784.30 and 882.42

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Solution

The fourth proportional to 1,856.88, 2,784.30 and 882.42 is: 1,323.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,856.88 : 2,784.30 = 882.42 : x
  2. Step 2: Convert to fraction form
    1,856.88/2,784.30 = 882.42/x
  3. Step 3: Cross multiply
    1,856.88x = 2,784.30 × 882.42
  4. Step 4: Simplify right side
    1,856.88x = 2,456,922.01
  5. Step 5: Solve for x
    x = 2,456,922.01/1,856.88
  6. Step 6: Final answer
    x = 1,323.15

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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.