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Finding the Fourth Proportional to 1,856.04, 2,782.44 and 881.61

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Solution

The fourth proportional to 1,856.04, 2,782.44 and 881.61 is: 1,321.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,856.04 : 2,782.44 = 881.61 : x
  2. Step 2: Convert to fraction form
    1,856.04/2,782.44 = 881.61/x
  3. Step 3: Cross multiply
    1,856.04x = 2,782.44 × 881.61
  4. Step 4: Simplify right side
    1,856.04x = 2,453,026.93
  5. Step 5: Solve for x
    x = 2,453,026.93/1,856.04
  6. Step 6: Final answer
    x = 1,321.65

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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.