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Finding the Fourth Proportional to 3,098.61, 4,274.73 and 1,771.83

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Solution

The fourth proportional to 3,098.61, 4,274.73 and 1,771.83 is: 2,444.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,098.61 : 4,274.73 = 1,771.83 : x
  2. Step 2: Convert to fraction form
    3,098.61/4,274.73 = 1,771.83/x
  3. Step 3: Cross multiply
    3,098.61x = 4,274.73 × 1,771.83
  4. Step 4: Simplify right side
    3,098.61x = 7,574,073.48
  5. Step 5: Solve for x
    x = 7,574,073.48/3,098.61
  6. Step 6: Final answer
    x = 2,444.35

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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.