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Finding the Fourth Proportional to 2,705.01, 3,732.31 and 1,823.32

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Solution

The fourth proportional to 2,705.01, 3,732.31 and 1,823.32 is: 2,515.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,705.01 : 3,732.31 = 1,823.32 : x
  2. Step 2: Convert to fraction form
    2,705.01/3,732.31 = 1,823.32/x
  3. Step 3: Cross multiply
    2,705.01x = 3,732.31 × 1,823.32
  4. Step 4: Simplify right side
    2,705.01x = 6,805,195.47
  5. Step 5: Solve for x
    x = 6,805,195.47/2,705.01
  6. Step 6: Final answer
    x = 2,515.77

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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.