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Finding the Fourth Proportional to 1,830.74, 2,526.44 and 1,084.41

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Solution

The fourth proportional to 1,830.74, 2,526.44 and 1,084.41 is: 1,496.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,830.74 : 2,526.44 = 1,084.41 : x
  2. Step 2: Convert to fraction form
    1,830.74/2,526.44 = 1,084.41/x
  3. Step 3: Cross multiply
    1,830.74x = 2,526.44 × 1,084.41
  4. Step 4: Simplify right side
    1,830.74x = 2,739,691.38
  5. Step 5: Solve for x
    x = 2,739,691.38/1,830.74
  6. Step 6: Final answer
    x = 1,496.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.