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Finding the Fourth Proportional to 2,484.97, 3,727.98 and 841.46

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Solution

The fourth proportional to 2,484.97, 3,727.98 and 841.46 is: 1,262.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,484.97 : 3,727.98 = 841.46 : x
  2. Step 2: Convert to fraction form
    2,484.97/3,727.98 = 841.46/x
  3. Step 3: Cross multiply
    2,484.97x = 3,727.98 × 841.46
  4. Step 4: Simplify right side
    2,484.97x = 3,136,927.41
  5. Step 5: Solve for x
    x = 3,136,927.41/2,484.97
  6. Step 6: Final answer
    x = 1,262.36

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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.