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Finding the Fourth Proportional to 1,502.70, 2,074.86 and 1,369.86

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Solution

The fourth proportional to 1,502.70, 2,074.86 and 1,369.86 is: 1,891.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,502.70 : 2,074.86 = 1,369.86 : x
  2. Step 2: Convert to fraction form
    1,502.70/2,074.86 = 1,369.86/x
  3. Step 3: Cross multiply
    1,502.70x = 2,074.86 × 1,369.86
  4. Step 4: Simplify right side
    1,502.70x = 2,842,267.72
  5. Step 5: Solve for x
    x = 2,842,267.72/1,502.70
  6. Step 6: Final answer
    x = 1,891.44

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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.