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Finding the Fourth Proportional to 1,489.95, 2,056.09 and 826.83

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Solution

The fourth proportional to 1,489.95, 2,056.09 and 826.83 is: 1,141.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,489.95 : 2,056.09 = 826.83 : x
  2. Step 2: Convert to fraction form
    1,489.95/2,056.09 = 826.83/x
  3. Step 3: Cross multiply
    1,489.95x = 2,056.09 × 826.83
  4. Step 4: Simplify right side
    1,489.95x = 1,700,036.89
  5. Step 5: Solve for x
    x = 1,700,036.89/1,489.95
  6. Step 6: Final answer
    x = 1,141.00

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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.