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Finding the Fourth Proportional to 3,155.74, 4,734.66 and 1,400.50

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Solution

The fourth proportional to 3,155.74, 4,734.66 and 1,400.50 is: 2,101.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,155.74 : 4,734.66 = 1,400.50 : x
  2. Step 2: Convert to fraction form
    3,155.74/4,734.66 = 1,400.50/x
  3. Step 3: Cross multiply
    3,155.74x = 4,734.66 × 1,400.50
  4. Step 4: Simplify right side
    3,155.74x = 6,630,884.75
  5. Step 5: Solve for x
    x = 6,630,884.75/3,155.74
  6. Step 6: Final answer
    x = 2,101.22

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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.