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Finding the Fourth Proportional to 2,102.64, 2,903.04 and 1,306.86

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Solution

The fourth proportional to 2,102.64, 2,903.04 and 1,306.86 is: 1,804.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.64 : 2,903.04 = 1,306.86 : x
  2. Step 2: Convert to fraction form
    2,102.64/2,903.04 = 1,306.86/x
  3. Step 3: Cross multiply
    2,102.64x = 2,903.04 × 1,306.86
  4. Step 4: Simplify right side
    2,102.64x = 3,793,866.85
  5. Step 5: Solve for x
    x = 3,793,866.85/2,102.64
  6. Step 6: Final answer
    x = 1,804.33

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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.