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Finding the Fourth Proportional to 1,834.02, 2,750.78 and 601.40

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Solution

The fourth proportional to 1,834.02, 2,750.78 and 601.40 is: 902.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,834.02 : 2,750.78 = 601.40 : x
  2. Step 2: Convert to fraction form
    1,834.02/2,750.78 = 601.40/x
  3. Step 3: Cross multiply
    1,834.02x = 2,750.78 × 601.40
  4. Step 4: Simplify right side
    1,834.02x = 1,654,319.09
  5. Step 5: Solve for x
    x = 1,654,319.09/1,834.02
  6. Step 6: Final answer
    x = 902.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.