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Finding the Fourth Proportional to 1,716.35, 2,366.78 and 1,468.49

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Solution

The fourth proportional to 1,716.35, 2,366.78 and 1,468.49 is: 2,024.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,716.35 : 2,366.78 = 1,468.49 : x
  2. Step 2: Convert to fraction form
    1,716.35/2,366.78 = 1,468.49/x
  3. Step 3: Cross multiply
    1,716.35x = 2,366.78 × 1,468.49
  4. Step 4: Simplify right side
    1,716.35x = 3,475,592.76
  5. Step 5: Solve for x
    x = 3,475,592.76/1,716.35
  6. Step 6: Final answer
    x = 2,024.99

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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.