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Finding the Fourth Proportional to 1,490.06, 2,056.19 and 826.89

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Solution

The fourth proportional to 1,490.06, 2,056.19 and 826.89 is: 1,141.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,490.06 : 2,056.19 = 826.89 : x
  2. Step 2: Convert to fraction form
    1,490.06/2,056.19 = 826.89/x
  3. Step 3: Cross multiply
    1,490.06x = 2,056.19 × 826.89
  4. Step 4: Simplify right side
    1,490.06x = 1,700,245.02
  5. Step 5: Solve for x
    x = 1,700,245.02/1,490.06
  6. Step 6: Final answer
    x = 1,141.06

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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.