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Finding the Fourth Proportional to 2,466.84, 3,404.26 and 1,582.66

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Solution

The fourth proportional to 2,466.84, 3,404.26 and 1,582.66 is: 2,184.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,466.84 : 3,404.26 = 1,582.66 : x
  2. Step 2: Convert to fraction form
    2,466.84/3,404.26 = 1,582.66/x
  3. Step 3: Cross multiply
    2,466.84x = 3,404.26 × 1,582.66
  4. Step 4: Simplify right side
    2,466.84x = 5,387,786.13
  5. Step 5: Solve for x
    x = 5,387,786.13/2,466.84
  6. Step 6: Final answer
    x = 2,184.08

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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.