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Finding the Fourth Proportional to 3,284.66, 4,926.37 and 1,410.88

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Solution

The fourth proportional to 3,284.66, 4,926.37 and 1,410.88 is: 2,116.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,284.66 : 4,926.37 = 1,410.88 : x
  2. Step 2: Convert to fraction form
    3,284.66/4,926.37 = 1,410.88/x
  3. Step 3: Cross multiply
    3,284.66x = 4,926.37 × 1,410.88
  4. Step 4: Simplify right side
    3,284.66x = 6,950,501.06
  5. Step 5: Solve for x
    x = 6,950,501.06/3,284.66
  6. Step 6: Final answer
    x = 2,116.05

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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.