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Finding the Fourth Proportional to 3,264.39, 4,891.82 and 1,509.93

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Solution

The fourth proportional to 3,264.39, 4,891.82 and 1,509.93 is: 2,262.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,264.39 : 4,891.82 = 1,509.93 : x
  2. Step 2: Convert to fraction form
    3,264.39/4,891.82 = 1,509.93/x
  3. Step 3: Cross multiply
    3,264.39x = 4,891.82 × 1,509.93
  4. Step 4: Simplify right side
    3,264.39x = 7,386,298.22
  5. Step 5: Solve for x
    x = 7,386,298.22/3,264.39
  6. Step 6: Final answer
    x = 2,262.69

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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.