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Finding the Fourth Proportional to 2,468.84, 3,702.72 and 1,426.64

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Solution

The fourth proportional to 2,468.84, 3,702.72 and 1,426.64 is: 2,139.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,468.84 : 3,702.72 = 1,426.64 : x
  2. Step 2: Convert to fraction form
    2,468.84/3,702.72 = 1,426.64/x
  3. Step 3: Cross multiply
    2,468.84x = 3,702.72 × 1,426.64
  4. Step 4: Simplify right side
    2,468.84x = 5,282,448.46
  5. Step 5: Solve for x
    x = 5,282,448.46/2,468.84
  6. Step 6: Final answer
    x = 2,139.65

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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.