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Finding the Fourth Proportional to 2,103.06, 2,900.79 and 1,384.86

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Solution

The fourth proportional to 2,103.06, 2,900.79 and 1,384.86 is: 1,910.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,103.06 : 2,900.79 = 1,384.86 : x
  2. Step 2: Convert to fraction form
    2,103.06/2,900.79 = 1,384.86/x
  3. Step 3: Cross multiply
    2,103.06x = 2,900.79 × 1,384.86
  4. Step 4: Simplify right side
    2,103.06x = 4,017,188.04
  5. Step 5: Solve for x
    x = 4,017,188.04/2,103.06
  6. Step 6: Final answer
    x = 1,910.16

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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.