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Finding the Fourth Proportional to 1,685.90, 2,326.83 and 1,056.96

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Solution

The fourth proportional to 1,685.90, 2,326.83 and 1,056.96 is: 1,458.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,685.90 : 2,326.83 = 1,056.96 : x
  2. Step 2: Convert to fraction form
    1,685.90/2,326.83 = 1,056.96/x
  3. Step 3: Cross multiply
    1,685.90x = 2,326.83 × 1,056.96
  4. Step 4: Simplify right side
    1,685.90x = 2,459,366.24
  5. Step 5: Solve for x
    x = 2,459,366.24/1,685.90
  6. Step 6: Final answer
    x = 1,458.79

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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.