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Finding the Fourth Proportional to 1,856.70, 2,784.18 and 1,076.93

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Solution

The fourth proportional to 1,856.70, 2,784.18 and 1,076.93 is: 1,614.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,856.70 : 2,784.18 = 1,076.93 : x
  2. Step 2: Convert to fraction form
    1,856.70/2,784.18 = 1,076.93/x
  3. Step 3: Cross multiply
    1,856.70x = 2,784.18 × 1,076.93
  4. Step 4: Simplify right side
    1,856.70x = 2,998,353.05
  5. Step 5: Solve for x
    x = 2,998,353.05/1,856.70
  6. Step 6: Final answer
    x = 1,614.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.