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Finding the Fourth Proportional to 2,411.25, 3,326.99 and 1,416.57

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Solution

The fourth proportional to 2,411.25, 3,326.99 and 1,416.57 is: 1,954.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,411.25 : 3,326.99 = 1,416.57 : x
  2. Step 2: Convert to fraction form
    2,411.25/3,326.99 = 1,416.57/x
  3. Step 3: Cross multiply
    2,411.25x = 3,326.99 × 1,416.57
  4. Step 4: Simplify right side
    2,411.25x = 4,712,907.14
  5. Step 5: Solve for x
    x = 4,712,907.14/2,411.25
  6. Step 6: Final answer
    x = 1,954.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.