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Finding the Fourth Proportional to 1,856.98, 2,783.04 and 1,077.40

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Solution

The fourth proportional to 1,856.98, 2,783.04 and 1,077.40 is: 1,614.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,856.98 : 2,783.04 = 1,077.40 : x
  2. Step 2: Convert to fraction form
    1,856.98/2,783.04 = 1,077.40/x
  3. Step 3: Cross multiply
    1,856.98x = 2,783.04 × 1,077.40
  4. Step 4: Simplify right side
    1,856.98x = 2,998,447.30
  5. Step 5: Solve for x
    x = 2,998,447.30/1,856.98
  6. Step 6: Final answer
    x = 1,614.69

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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.