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Finding the Fourth Proportional to 2,348.19, 3,502.37 and 1,980.43

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Solution

The fourth proportional to 2,348.19, 3,502.37 and 1,980.43 is: 2,953.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,348.19 : 3,502.37 = 1,980.43 : x
  2. Step 2: Convert to fraction form
    2,348.19/3,502.37 = 1,980.43/x
  3. Step 3: Cross multiply
    2,348.19x = 3,502.37 × 1,980.43
  4. Step 4: Simplify right side
    2,348.19x = 6,936,194.81
  5. Step 5: Solve for x
    x = 6,936,194.81/2,348.19
  6. Step 6: Final answer
    x = 2,953.85

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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.