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Finding the Fourth Proportional to 2,053.40, 3,074.70 and 1,502.60

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Solution

The fourth proportional to 2,053.40, 3,074.70 and 1,502.60 is: 2,249.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,053.40 : 3,074.70 = 1,502.60 : x
  2. Step 2: Convert to fraction form
    2,053.40/3,074.70 = 1,502.60/x
  3. Step 3: Cross multiply
    2,053.40x = 3,074.70 × 1,502.60
  4. Step 4: Simplify right side
    2,053.40x = 4,620,044.22
  5. Step 5: Solve for x
    x = 4,620,044.22/2,053.40
  6. Step 6: Final answer
    x = 2,249.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.