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Finding the Fourth Proportional to 2,468.16, 3,701.34 and 907.65

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Solution

The fourth proportional to 2,468.16, 3,701.34 and 907.65 is: 1,361.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,468.16 : 3,701.34 = 907.65 : x
  2. Step 2: Convert to fraction form
    2,468.16/3,701.34 = 907.65/x
  3. Step 3: Cross multiply
    2,468.16x = 3,701.34 × 907.65
  4. Step 4: Simplify right side
    2,468.16x = 3,359,521.25
  5. Step 5: Solve for x
    x = 3,359,521.25/2,468.16
  6. Step 6: Final answer
    x = 1,361.14

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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.