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Finding the Fourth Proportional to 1,776, 2,661.12 and 1,389.12

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Solution

The fourth proportional to 1,776, 2,661.12 and 1,389.12 is: 2,081.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,776 : 2,661.12 = 1,389.12 : x
  2. Step 2: Convert to fraction form
    1,776/2,661.12 = 1,389.12/x
  3. Step 3: Cross multiply
    1,776x = 2,661.12 × 1,389.12
  4. Step 4: Simplify right side
    1,776x = 3,696,615.01
  5. Step 5: Solve for x
    x = 3,696,615.01/1,776
  6. Step 6: Final answer
    x = 2,081.43

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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.