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Finding the Fourth Proportional to 3,176.98, 4,768.54 and 1,534.68

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Solution

The fourth proportional to 3,176.98, 4,768.54 and 1,534.68 is: 2,303.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,176.98 : 4,768.54 = 1,534.68 : x
  2. Step 2: Convert to fraction form
    3,176.98/4,768.54 = 1,534.68/x
  3. Step 3: Cross multiply
    3,176.98x = 4,768.54 × 1,534.68
  4. Step 4: Simplify right side
    3,176.98x = 7,318,182.97
  5. Step 5: Solve for x
    x = 7,318,182.97/3,176.98
  6. Step 6: Final answer
    x = 2,303.50

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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.