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Finding the Fourth Proportional to 2,916.84, 4,373.65 and 1,993.44

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Solution

The fourth proportional to 2,916.84, 4,373.65 and 1,993.44 is: 2,989.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,916.84 : 4,373.65 = 1,993.44 : x
  2. Step 2: Convert to fraction form
    2,916.84/4,373.65 = 1,993.44/x
  3. Step 3: Cross multiply
    2,916.84x = 4,373.65 × 1,993.44
  4. Step 4: Simplify right side
    2,916.84x = 8,718,598.89
  5. Step 5: Solve for x
    x = 8,718,598.89/2,916.84
  6. Step 6: Final answer
    x = 2,989.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.