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Finding the Fourth Proportional to 1,830.74, 2,526.74 and 1,084.96

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Solution

The fourth proportional to 1,830.74, 2,526.74 and 1,084.96 is: 1,497.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,830.74 : 2,526.74 = 1,084.96 : x
  2. Step 2: Convert to fraction form
    1,830.74/2,526.74 = 1,084.96/x
  3. Step 3: Cross multiply
    1,830.74x = 2,526.74 × 1,084.96
  4. Step 4: Simplify right side
    1,830.74x = 2,741,409.08
  5. Step 5: Solve for x
    x = 2,741,409.08/1,830.74
  6. Step 6: Final answer
    x = 1,497.43

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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.