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Finding the Fourth Proportional to 3,261, 4,886.91 and 1,410.69

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Solution

The fourth proportional to 3,261, 4,886.91 and 1,410.69 is: 2,114.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,261 : 4,886.91 = 1,410.69 : x
  2. Step 2: Convert to fraction form
    3,261/4,886.91 = 1,410.69/x
  3. Step 3: Cross multiply
    3,261x = 4,886.91 × 1,410.69
  4. Step 4: Simplify right side
    3,261x = 6,893,915.07
  5. Step 5: Solve for x
    x = 6,893,915.07/3,261
  6. Step 6: Final answer
    x = 2,114.05

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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.