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Finding the Fourth Proportional to 2,156.40, 2,977.18 and 1,683.46

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Solution

The fourth proportional to 2,156.40, 2,977.18 and 1,683.46 is: 2,324.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,156.40 : 2,977.18 = 1,683.46 : x
  2. Step 2: Convert to fraction form
    2,156.40/2,977.18 = 1,683.46/x
  3. Step 3: Cross multiply
    2,156.40x = 2,977.18 × 1,683.46
  4. Step 4: Simplify right side
    2,156.40x = 5,011,963.44
  5. Step 5: Solve for x
    x = 5,011,963.44/2,156.40
  6. Step 6: Final answer
    x = 2,324.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.