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Finding the Fourth Proportional to 2,491.36, 3,736.73 and 1,030.32

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Solution

The fourth proportional to 2,491.36, 3,736.73 and 1,030.32 is: 1,545.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,491.36 : 3,736.73 = 1,030.32 : x
  2. Step 2: Convert to fraction form
    2,491.36/3,736.73 = 1,030.32/x
  3. Step 3: Cross multiply
    2,491.36x = 3,736.73 × 1,030.32
  4. Step 4: Simplify right side
    2,491.36x = 3,850,030.23
  5. Step 5: Solve for x
    x = 3,850,030.23/2,491.36
  6. Step 6: Final answer
    x = 1,545.35

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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.