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Finding the Fourth Proportional to 2,467.52, 3,701.53 and 801.58

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Solution

The fourth proportional to 2,467.52, 3,701.53 and 801.58 is: 1,202.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,467.52 : 3,701.53 = 801.58 : x
  2. Step 2: Convert to fraction form
    2,467.52/3,701.53 = 801.58/x
  3. Step 3: Cross multiply
    2,467.52x = 3,701.53 × 801.58
  4. Step 4: Simplify right side
    2,467.52x = 2,967,069.89
  5. Step 5: Solve for x
    x = 2,967,069.89/2,467.52
  6. Step 6: Final answer
    x = 1,202.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.