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Finding the Fourth Proportional to 2,118.96, 2,924.16 and 1,174.80

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Solution

The fourth proportional to 2,118.96, 2,924.16 and 1,174.80 is: 1,621.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,118.96 : 2,924.16 = 1,174.80 : x
  2. Step 2: Convert to fraction form
    2,118.96/2,924.16 = 1,174.80/x
  3. Step 3: Cross multiply
    2,118.96x = 2,924.16 × 1,174.80
  4. Step 4: Simplify right side
    2,118.96x = 3,435,303.17
  5. Step 5: Solve for x
    x = 3,435,303.17/2,118.96
  6. Step 6: Final answer
    x = 1,621.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.