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Finding the Fourth Proportional to 1,397.18, 2,093.97 and 616.67

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Solution

The fourth proportional to 1,397.18, 2,093.97 and 616.67 is: 924.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,397.18 : 2,093.97 = 616.67 : x
  2. Step 2: Convert to fraction form
    1,397.18/2,093.97 = 616.67/x
  3. Step 3: Cross multiply
    1,397.18x = 2,093.97 × 616.67
  4. Step 4: Simplify right side
    1,397.18x = 1,291,288.48
  5. Step 5: Solve for x
    x = 1,291,288.48/1,397.18
  6. Step 6: Final answer
    x = 924.21

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