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Finding the Fourth Proportional to 2,164.59, 3,252.35 and 2,098.98

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Solution

The fourth proportional to 2,164.59, 3,252.35 and 2,098.98 is: 3,153.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,164.59 : 3,252.35 = 2,098.98 : x
  2. Step 2: Convert to fraction form
    2,164.59/3,252.35 = 2,098.98/x
  3. Step 3: Cross multiply
    2,164.59x = 3,252.35 × 2,098.98
  4. Step 4: Simplify right side
    2,164.59x = 6,826,622.85
  5. Step 5: Solve for x
    x = 6,826,622.85/2,164.59
  6. Step 6: Final answer
    x = 3,153.77

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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.