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Finding the Fourth Proportional to 2,118.94, 2,924.16 and 1,174.74

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Solution

The fourth proportional to 2,118.94, 2,924.16 and 1,174.74 is: 1,621.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,118.94 : 2,924.16 = 1,174.74 : x
  2. Step 2: Convert to fraction form
    2,118.94/2,924.16 = 1,174.74/x
  3. Step 3: Cross multiply
    2,118.94x = 2,924.16 × 1,174.74
  4. Step 4: Simplify right side
    2,118.94x = 3,435,142.20
  5. Step 5: Solve for x
    x = 3,435,142.20/2,118.94
  6. Step 6: Final answer
    x = 1,621.16

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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.