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Finding the Fourth Proportional to 2,410.66, 3,326.17 and 1,466.94

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Solution

The fourth proportional to 2,410.66, 3,326.17 and 1,466.94 is: 2,024.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,410.66 : 3,326.17 = 1,466.94 : x
  2. Step 2: Convert to fraction form
    2,410.66/3,326.17 = 1,466.94/x
  3. Step 3: Cross multiply
    2,410.66x = 3,326.17 × 1,466.94
  4. Step 4: Simplify right side
    2,410.66x = 4,879,284.49
  5. Step 5: Solve for x
    x = 4,879,284.49/2,410.66
  6. Step 6: Final answer
    x = 2,024.05

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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.