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Finding the Fourth Proportional to 2,384.58, 3,558.32 and 2,139.42

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Solution

The fourth proportional to 2,384.58, 3,558.32 and 2,139.42 is: 3,192.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,384.58 : 3,558.32 = 2,139.42 : x
  2. Step 2: Convert to fraction form
    2,384.58/3,558.32 = 2,139.42/x
  3. Step 3: Cross multiply
    2,384.58x = 3,558.32 × 2,139.42
  4. Step 4: Simplify right side
    2,384.58x = 7,612,730.28
  5. Step 5: Solve for x
    x = 7,612,730.28/2,384.58
  6. Step 6: Final answer
    x = 3,192.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.