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Finding the Fourth Proportional to 3,151.76, 4,349.56 and 1,754.50

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Solution

The fourth proportional to 3,151.76, 4,349.56 and 1,754.50 is: 2,421.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,151.76 : 4,349.56 = 1,754.50 : x
  2. Step 2: Convert to fraction form
    3,151.76/4,349.56 = 1,754.50/x
  3. Step 3: Cross multiply
    3,151.76x = 4,349.56 × 1,754.50
  4. Step 4: Simplify right side
    3,151.76x = 7,631,303.02
  5. Step 5: Solve for x
    x = 7,631,303.02/3,151.76
  6. Step 6: Final answer
    x = 2,421.28

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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.