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Finding the Fourth Proportional to 1,856.64, 2,784.48 and 701.76

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Solution

The fourth proportional to 1,856.64, 2,784.48 and 701.76 is: 1,052.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,856.64 : 2,784.48 = 701.76 : x
  2. Step 2: Convert to fraction form
    1,856.64/2,784.48 = 701.76/x
  3. Step 3: Cross multiply
    1,856.64x = 2,784.48 × 701.76
  4. Step 4: Simplify right side
    1,856.64x = 1,954,036.68
  5. Step 5: Solve for x
    x = 1,954,036.68/1,856.64
  6. Step 6: Final answer
    x = 1,052.46

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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.