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Finding the Fourth Proportional to 3,264.80, 4,894.32 and 1,535.52

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Solution

The fourth proportional to 3,264.80, 4,894.32 and 1,535.52 is: 2,301.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,264.80 : 4,894.32 = 1,535.52 : x
  2. Step 2: Convert to fraction form
    3,264.80/4,894.32 = 1,535.52/x
  3. Step 3: Cross multiply
    3,264.80x = 4,894.32 × 1,535.52
  4. Step 4: Simplify right side
    3,264.80x = 7,515,326.25
  5. Step 5: Solve for x
    x = 7,515,326.25/3,264.80
  6. Step 6: Final answer
    x = 2,301.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.