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Finding the Fourth Proportional to 2,274.39, 3,411.60 and 975.87

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Solution

The fourth proportional to 2,274.39, 3,411.60 and 975.87 is: 1,463.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,274.39 : 3,411.60 = 975.87 : x
  2. Step 2: Convert to fraction form
    2,274.39/3,411.60 = 975.87/x
  3. Step 3: Cross multiply
    2,274.39x = 3,411.60 × 975.87
  4. Step 4: Simplify right side
    2,274.39x = 3,329,278.09
  5. Step 5: Solve for x
    x = 3,329,278.09/2,274.39
  6. Step 6: Final answer
    x = 1,463.81

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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.