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Finding the Fourth Proportional to 1,829.83, 2,525.17 and 990.53

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Solution

The fourth proportional to 1,829.83, 2,525.17 and 990.53 is: 1,366.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,829.83 : 2,525.17 = 990.53 : x
  2. Step 2: Convert to fraction form
    1,829.83/2,525.17 = 990.53/x
  3. Step 3: Cross multiply
    1,829.83x = 2,525.17 × 990.53
  4. Step 4: Simplify right side
    1,829.83x = 2,501,251.69
  5. Step 5: Solve for x
    x = 2,501,251.69/1,829.83
  6. Step 6: Final answer
    x = 1,366.93

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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.