Home / 1,644.16-2,464.90-1,122.84

Finding the Fourth Proportional to 1,644.16, 2,464.90 and 1,122.84

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Solution

The fourth proportional to 1,644.16, 2,464.90 and 1,122.84 is: 1,683.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,644.16 : 2,464.90 = 1,122.84 : x
  2. Step 2: Convert to fraction form
    1,644.16/2,464.90 = 1,122.84/x
  3. Step 3: Cross multiply
    1,644.16x = 2,464.90 × 1,122.84
  4. Step 4: Simplify right side
    1,644.16x = 2,767,688.32
  5. Step 5: Solve for x
    x = 2,767,688.32/1,644.16
  6. Step 6: Final answer
    x = 1,683.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.