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Finding the Fourth Proportional to 3,102.76, 4,657.02 and 2,374.12

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Solution

The fourth proportional to 3,102.76, 4,657.02 and 2,374.12 is: 3,563.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.76 : 4,657.02 = 2,374.12 : x
  2. Step 2: Convert to fraction form
    3,102.76/4,657.02 = 2,374.12/x
  3. Step 3: Cross multiply
    3,102.76x = 4,657.02 × 2,374.12
  4. Step 4: Simplify right side
    3,102.76x = 11,056,324.32
  5. Step 5: Solve for x
    x = 11,056,324.32/3,102.76
  6. Step 6: Final answer
    x = 3,563.38

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1.5x scale

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.