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Finding the Fourth Proportional to 2,117.54, 2,920.83 and 1,330.22

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Solution

The fourth proportional to 2,117.54, 2,920.83 and 1,330.22 is: 1,834.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,117.54 : 2,920.83 = 1,330.22 : x
  2. Step 2: Convert to fraction form
    2,117.54/2,920.83 = 1,330.22/x
  3. Step 3: Cross multiply
    2,117.54x = 2,920.83 × 1,330.22
  4. Step 4: Simplify right side
    2,117.54x = 3,885,331.88
  5. Step 5: Solve for x
    x = 3,885,331.88/2,117.54
  6. Step 6: Final answer
    x = 1,834.84

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