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Finding the Fourth Proportional to 2,030.72, 3,046.08 and 491.72

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Solution

The fourth proportional to 2,030.72, 3,046.08 and 491.72 is: 737.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,030.72 : 3,046.08 = 491.72 : x
  2. Step 2: Convert to fraction form
    2,030.72/3,046.08 = 491.72/x
  3. Step 3: Cross multiply
    2,030.72x = 3,046.08 × 491.72
  4. Step 4: Simplify right side
    2,030.72x = 1,497,826.07
  5. Step 5: Solve for x
    x = 1,497,826.07/2,030.72
  6. Step 6: Final answer
    x = 737.58

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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.