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Finding the Fourth Proportional to 2,701.60, 4,047.60 and 2,317.60

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Solution

The fourth proportional to 2,701.60, 4,047.60 and 2,317.60 is: 3,472.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,701.60 : 4,047.60 = 2,317.60 : x
  2. Step 2: Convert to fraction form
    2,701.60/4,047.60 = 2,317.60/x
  3. Step 3: Cross multiply
    2,701.60x = 4,047.60 × 2,317.60
  4. Step 4: Simplify right side
    2,701.60x = 9,380,717.76
  5. Step 5: Solve for x
    x = 9,380,717.76/2,701.60
  6. Step 6: Final answer
    x = 3,472.28

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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.