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Finding the Fourth Proportional to 2,474.71, 3,414.93 and 1,355.47

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Solution

The fourth proportional to 2,474.71, 3,414.93 and 1,355.47 is: 1,870.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,474.71 : 3,414.93 = 1,355.47 : x
  2. Step 2: Convert to fraction form
    2,474.71/3,414.93 = 1,355.47/x
  3. Step 3: Cross multiply
    2,474.71x = 3,414.93 × 1,355.47
  4. Step 4: Simplify right side
    2,474.71x = 4,628,838.81
  5. Step 5: Solve for x
    x = 4,628,838.81/2,474.71
  6. Step 6: Final answer
    x = 1,870.45

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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.