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Finding the Fourth Proportional to 2,089.91, 2,884.94 and 1,534.35

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Solution

The fourth proportional to 2,089.91, 2,884.94 and 1,534.35 is: 2,118.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,089.91 : 2,884.94 = 1,534.35 : x
  2. Step 2: Convert to fraction form
    2,089.91/2,884.94 = 1,534.35/x
  3. Step 3: Cross multiply
    2,089.91x = 2,884.94 × 1,534.35
  4. Step 4: Simplify right side
    2,089.91x = 4,426,500.02
  5. Step 5: Solve for x
    x = 4,426,500.02/2,089.91
  6. Step 6: Final answer
    x = 2,118.04

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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.