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Finding the Fourth Proportional to 2,515, 3,470.74 and 1,411

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Solution

The fourth proportional to 2,515, 3,470.74 and 1,411 is: 1,947.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,515 : 3,470.74 = 1,411 : x
  2. Step 2: Convert to fraction form
    2,515/3,470.74 = 1,411/x
  3. Step 3: Cross multiply
    2,515x = 3,470.74 × 1,411
  4. Step 4: Simplify right side
    2,515x = 4,897,214.14
  5. Step 5: Solve for x
    x = 4,897,214.14/2,515
  6. Step 6: Final answer
    x = 1,947.20

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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.