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Finding the Fourth Proportional to 2,612.94, 3,916.71 and 1,052.94

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Solution

The fourth proportional to 2,612.94, 3,916.71 and 1,052.94 is: 1,578.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,612.94 : 3,916.71 = 1,052.94 : x
  2. Step 2: Convert to fraction form
    2,612.94/3,916.71 = 1,052.94/x
  3. Step 3: Cross multiply
    2,612.94x = 3,916.71 × 1,052.94
  4. Step 4: Simplify right side
    2,612.94x = 4,124,060.63
  5. Step 5: Solve for x
    x = 4,124,060.63/2,612.94
  6. Step 6: Final answer
    x = 1,578.32

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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.