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Finding the Fourth Proportional to 2,166.16, 2,989.23 and 1,222

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Solution

The fourth proportional to 2,166.16, 2,989.23 and 1,222 is: 1,686.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,166.16 : 2,989.23 = 1,222 : x
  2. Step 2: Convert to fraction form
    2,166.16/2,989.23 = 1,222/x
  3. Step 3: Cross multiply
    2,166.16x = 2,989.23 × 1,222
  4. Step 4: Simplify right side
    2,166.16x = 3,652,839.06
  5. Step 5: Solve for x
    x = 3,652,839.06/2,166.16
  6. Step 6: Final answer
    x = 1,686.32

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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.