Home / 1,652.16-2,282-1,209.44

Finding the Fourth Proportional to 1,652.16, 2,282 and 1,209.44

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Solution

The fourth proportional to 1,652.16, 2,282 and 1,209.44 is: 1,670.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,652.16 : 2,282 = 1,209.44 : x
  2. Step 2: Convert to fraction form
    1,652.16/2,282 = 1,209.44/x
  3. Step 3: Cross multiply
    1,652.16x = 2,282 × 1,209.44
  4. Step 4: Simplify right side
    1,652.16x = 2,759,942.08
  5. Step 5: Solve for x
    x = 2,759,942.08/1,652.16
  6. Step 6: Final answer
    x = 1,670.51

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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.