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Finding the Fourth Proportional to 2,200.74, 3,037.06 and 1,502.34

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Solution

The fourth proportional to 2,200.74, 3,037.06 and 1,502.34 is: 2,073.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,200.74 : 3,037.06 = 1,502.34 : x
  2. Step 2: Convert to fraction form
    2,200.74/3,037.06 = 1,502.34/x
  3. Step 3: Cross multiply
    2,200.74x = 3,037.06 × 1,502.34
  4. Step 4: Simplify right side
    2,200.74x = 4,562,696.72
  5. Step 5: Solve for x
    x = 4,562,696.72/2,200.74
  6. Step 6: Final answer
    x = 2,073.26

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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.