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Finding the Fourth Proportional to 2,038.86, 3,051.60 and 1,549.22

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Solution

The fourth proportional to 2,038.86, 3,051.60 and 1,549.22 is: 2,318.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,038.86 : 3,051.60 = 1,549.22 : x
  2. Step 2: Convert to fraction form
    2,038.86/3,051.60 = 1,549.22/x
  3. Step 3: Cross multiply
    2,038.86x = 3,051.60 × 1,549.22
  4. Step 4: Simplify right side
    2,038.86x = 4,727,599.75
  5. Step 5: Solve for x
    x = 4,727,599.75/2,038.86
  6. Step 6: Final answer
    x = 2,318.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.