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Finding the Fourth Proportional to 1,856.48, 2,784.33 and 539.96

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Solution

The fourth proportional to 1,856.48, 2,784.33 and 539.96 is: 809.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,856.48 : 2,784.33 = 539.96 : x
  2. Step 2: Convert to fraction form
    1,856.48/2,784.33 = 539.96/x
  3. Step 3: Cross multiply
    1,856.48x = 2,784.33 × 539.96
  4. Step 4: Simplify right side
    1,856.48x = 1,503,412.91
  5. Step 5: Solve for x
    x = 1,503,412.91/1,856.48
  6. Step 6: Final answer
    x = 809.82

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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.