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Finding the Fourth Proportional to 2,102.54, 2,901.04 and 1,263.13

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Solution

The fourth proportional to 2,102.54, 2,901.04 and 1,263.13 is: 1,742.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.54 : 2,901.04 = 1,263.13 : x
  2. Step 2: Convert to fraction form
    2,102.54/2,901.04 = 1,263.13/x
  3. Step 3: Cross multiply
    2,102.54x = 2,901.04 × 1,263.13
  4. Step 4: Simplify right side
    2,102.54x = 3,664,380.24
  5. Step 5: Solve for x
    x = 3,664,380.24/2,102.54
  6. Step 6: Final answer
    x = 1,742.84

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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.