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Finding the Fourth Proportional to 1,898.86, 2,620.35 and 1,102.20

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Solution

The fourth proportional to 1,898.86, 2,620.35 and 1,102.20 is: 1,520.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,898.86 : 2,620.35 = 1,102.20 : x
  2. Step 2: Convert to fraction form
    1,898.86/2,620.35 = 1,102.20/x
  3. Step 3: Cross multiply
    1,898.86x = 2,620.35 × 1,102.20
  4. Step 4: Simplify right side
    1,898.86x = 2,888,149.77
  5. Step 5: Solve for x
    x = 2,888,149.77/1,898.86
  6. Step 6: Final answer
    x = 1,520.99

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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.