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Finding the Fourth Proportional to 2,030.10, 3,046.35 and 731.40

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Solution

The fourth proportional to 2,030.10, 3,046.35 and 731.40 is: 1,097.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,030.10 : 3,046.35 = 731.40 : x
  2. Step 2: Convert to fraction form
    2,030.10/3,046.35 = 731.40/x
  3. Step 3: Cross multiply
    2,030.10x = 3,046.35 × 731.40
  4. Step 4: Simplify right side
    2,030.10x = 2,228,100.39
  5. Step 5: Solve for x
    x = 2,228,100.39/2,030.10
  6. Step 6: Final answer
    x = 1,097.53

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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.