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Finding the Fourth Proportional to 2,074.82, 3,110.46 and 903.93

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Solution

The fourth proportional to 2,074.82, 3,110.46 and 903.93 is: 1,355.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,074.82 : 3,110.46 = 903.93 : x
  2. Step 2: Convert to fraction form
    2,074.82/3,110.46 = 903.93/x
  3. Step 3: Cross multiply
    2,074.82x = 3,110.46 × 903.93
  4. Step 4: Simplify right side
    2,074.82x = 2,811,638.11
  5. Step 5: Solve for x
    x = 2,811,638.11/2,074.82
  6. Step 6: Final answer
    x = 1,355.13

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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.