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Finding the Fourth Proportional to 2,116.68, 2,920.64 and 1,220.22

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Solution

The fourth proportional to 2,116.68, 2,920.64 and 1,220.22 is: 1,683.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,116.68 : 2,920.64 = 1,220.22 : x
  2. Step 2: Convert to fraction form
    2,116.68/2,920.64 = 1,220.22/x
  3. Step 3: Cross multiply
    2,116.68x = 2,920.64 × 1,220.22
  4. Step 4: Simplify right side
    2,116.68x = 3,563,823.34
  5. Step 5: Solve for x
    x = 3,563,823.34/2,116.68
  6. Step 6: Final answer
    x = 1,683.69

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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.