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Finding the Fourth Proportional to 1,391.84, 2,088.22 and 661.34

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Solution

The fourth proportional to 1,391.84, 2,088.22 and 661.34 is: 992.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,391.84 : 2,088.22 = 661.34 : x
  2. Step 2: Convert to fraction form
    1,391.84/2,088.22 = 661.34/x
  3. Step 3: Cross multiply
    1,391.84x = 2,088.22 × 661.34
  4. Step 4: Simplify right side
    1,391.84x = 1,381,023.41
  5. Step 5: Solve for x
    x = 1,381,023.41/1,391.84
  6. Step 6: Final answer
    x = 992.23

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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.