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Finding the Fourth Proportional to 2,103.02, 2,902.80 and 1,263.86

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Solution

The fourth proportional to 2,103.02, 2,902.80 and 1,263.86 is: 1,744.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,103.02 : 2,902.80 = 1,263.86 : x
  2. Step 2: Convert to fraction form
    2,103.02/2,902.80 = 1,263.86/x
  3. Step 3: Cross multiply
    2,103.02x = 2,902.80 × 1,263.86
  4. Step 4: Simplify right side
    2,103.02x = 3,668,732.81
  5. Step 5: Solve for x
    x = 3,668,732.81/2,103.02
  6. Step 6: Final answer
    x = 1,744.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.