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Finding the Fourth Proportional to 1,856.14, 2,784.28 and 759.74

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Solution

The fourth proportional to 1,856.14, 2,784.28 and 759.74 is: 1,139.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,856.14 : 2,784.28 = 759.74 : x
  2. Step 2: Convert to fraction form
    1,856.14/2,784.28 = 759.74/x
  3. Step 3: Cross multiply
    1,856.14x = 2,784.28 × 759.74
  4. Step 4: Simplify right side
    1,856.14x = 2,115,328.89
  5. Step 5: Solve for x
    x = 2,115,328.89/1,856.14
  6. Step 6: Final answer
    x = 1,139.64

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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.