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Finding the Fourth Proportional to 3,153.76, 4,352.32 and 1,756.50

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Solution

The fourth proportional to 3,153.76, 4,352.32 and 1,756.50 is: 2,424.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,153.76 : 4,352.32 = 1,756.50 : x
  2. Step 2: Convert to fraction form
    3,153.76/4,352.32 = 1,756.50/x
  3. Step 3: Cross multiply
    3,153.76x = 4,352.32 × 1,756.50
  4. Step 4: Simplify right side
    3,153.76x = 7,644,850.08
  5. Step 5: Solve for x
    x = 7,644,850.08/3,153.76
  6. Step 6: Final answer
    x = 2,424.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.