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Finding the Fourth Proportional to 3,269.50, 4,901.01 and 1,535.02

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Solution

The fourth proportional to 3,269.50, 4,901.01 and 1,535.02 is: 2,301.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,269.50 : 4,901.01 = 1,535.02 : x
  2. Step 2: Convert to fraction form
    3,269.50/4,901.01 = 1,535.02/x
  3. Step 3: Cross multiply
    3,269.50x = 4,901.01 × 1,535.02
  4. Step 4: Simplify right side
    3,269.50x = 7,523,148.37
  5. Step 5: Solve for x
    x = 7,523,148.37/3,269.50
  6. Step 6: Final answer
    x = 2,301.01

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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.