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Finding the Fourth Proportional to 2,948.54, 4,068.98 and 1,622.26

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Solution

The fourth proportional to 2,948.54, 4,068.98 and 1,622.26 is: 2,238.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,948.54 : 4,068.98 = 1,622.26 : x
  2. Step 2: Convert to fraction form
    2,948.54/4,068.98 = 1,622.26/x
  3. Step 3: Cross multiply
    2,948.54x = 4,068.98 × 1,622.26
  4. Step 4: Simplify right side
    2,948.54x = 6,600,943.49
  5. Step 5: Solve for x
    x = 6,600,943.49/2,948.54
  6. Step 6: Final answer
    x = 2,238.72

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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.