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Finding the Fourth Proportional to 2,467.20, 3,701.16 and 907.95

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Solution

The fourth proportional to 2,467.20, 3,701.16 and 907.95 is: 1,362.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,467.20 : 3,701.16 = 907.95 : x
  2. Step 2: Convert to fraction form
    2,467.20/3,701.16 = 907.95/x
  3. Step 3: Cross multiply
    2,467.20x = 3,701.16 × 907.95
  4. Step 4: Simplify right side
    2,467.20x = 3,360,468.22
  5. Step 5: Solve for x
    x = 3,360,468.22/2,467.20
  6. Step 6: Final answer
    x = 1,362.06

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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.