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Finding the Fourth Proportional to 2,128.66, 2,935.53 and 1,381.77

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Solution

The fourth proportional to 2,128.66, 2,935.53 and 1,381.77 is: 1,905.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,128.66 : 2,935.53 = 1,381.77 : x
  2. Step 2: Convert to fraction form
    2,128.66/2,935.53 = 1,381.77/x
  3. Step 3: Cross multiply
    2,128.66x = 2,935.53 × 1,381.77
  4. Step 4: Simplify right side
    2,128.66x = 4,056,227.29
  5. Step 5: Solve for x
    x = 4,056,227.29/2,128.66
  6. Step 6: Final answer
    x = 1,905.53

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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.