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Finding the Fourth Proportional to 2,631.18, 3,946.77 and 901.02

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Solution

The fourth proportional to 2,631.18, 3,946.77 and 901.02 is: 1,351.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,631.18 : 3,946.77 = 901.02 : x
  2. Step 2: Convert to fraction form
    2,631.18/3,946.77 = 901.02/x
  3. Step 3: Cross multiply
    2,631.18x = 3,946.77 × 901.02
  4. Step 4: Simplify right side
    2,631.18x = 3,556,118.71
  5. Step 5: Solve for x
    x = 3,556,118.71/2,631.18
  6. Step 6: Final answer
    x = 1,351.53

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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.