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Finding the Fourth Proportional to 2,919.56, 4,360.09 and 2,597

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Solution

The fourth proportional to 2,919.56, 4,360.09 and 2,597 is: 3,878.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,919.56 : 4,360.09 = 2,597 : x
  2. Step 2: Convert to fraction form
    2,919.56/4,360.09 = 2,597/x
  3. Step 3: Cross multiply
    2,919.56x = 4,360.09 × 2,597
  4. Step 4: Simplify right side
    2,919.56x = 11,323,153.73
  5. Step 5: Solve for x
    x = 11,323,153.73/2,919.56
  6. Step 6: Final answer
    x = 3,878.38

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.