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Finding the Fourth Proportional to 2,468.13, 3,406.15 and 1,420.53

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Solution

The fourth proportional to 2,468.13, 3,406.15 and 1,420.53 is: 1,960.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,468.13 : 3,406.15 = 1,420.53 : x
  2. Step 2: Convert to fraction form
    2,468.13/3,406.15 = 1,420.53/x
  3. Step 3: Cross multiply
    2,468.13x = 3,406.15 × 1,420.53
  4. Step 4: Simplify right side
    2,468.13x = 4,838,538.26
  5. Step 5: Solve for x
    x = 4,838,538.26/2,468.13
  6. Step 6: Final answer
    x = 1,960.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.