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Finding the Fourth Proportional to 2,697.93, 3,723.10 and 1,502.91

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Solution

The fourth proportional to 2,697.93, 3,723.10 and 1,502.91 is: 2,073.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,697.93 : 3,723.10 = 1,502.91 : x
  2. Step 2: Convert to fraction form
    2,697.93/3,723.10 = 1,502.91/x
  3. Step 3: Cross multiply
    2,697.93x = 3,723.10 × 1,502.91
  4. Step 4: Simplify right side
    2,697.93x = 5,595,484.22
  5. Step 5: Solve for x
    x = 5,595,484.22/2,697.93
  6. Step 6: Final answer
    x = 2,073.99

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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.