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Finding the Fourth Proportional to 1,856.08, 2,783.76 and 701.60

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Solution

The fourth proportional to 1,856.08, 2,783.76 and 701.60 is: 1,052.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,856.08 : 2,783.76 = 701.60 : x
  2. Step 2: Convert to fraction form
    1,856.08/2,783.76 = 701.60/x
  3. Step 3: Cross multiply
    1,856.08x = 2,783.76 × 701.60
  4. Step 4: Simplify right side
    1,856.08x = 1,953,086.02
  5. Step 5: Solve for x
    x = 1,953,086.02/1,856.08
  6. Step 6: Final answer
    x = 1,052.26

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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.