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Finding the Fourth Proportional to 2,465.28, 3,697.52 and 733.50

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Solution

The fourth proportional to 2,465.28, 3,697.52 and 733.50 is: 1,100.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,465.28 : 3,697.52 = 733.50 : x
  2. Step 2: Convert to fraction form
    2,465.28/3,697.52 = 733.50/x
  3. Step 3: Cross multiply
    2,465.28x = 3,697.52 × 733.50
  4. Step 4: Simplify right side
    2,465.28x = 2,712,127.25
  5. Step 5: Solve for x
    x = 2,712,127.25/2,465.28
  6. Step 6: Final answer
    x = 1,100.13

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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.