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Finding the Fourth Proportional to 2,297.61, 3,443.73 and 2,038.13

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Solution

The fourth proportional to 2,297.61, 3,443.73 and 2,038.13 is: 3,054.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297.61 : 3,443.73 = 2,038.13 : x
  2. Step 2: Convert to fraction form
    2,297.61/3,443.73 = 2,038.13/x
  3. Step 3: Cross multiply
    2,297.61x = 3,443.73 × 2,038.13
  4. Step 4: Simplify right side
    2,297.61x = 7,018,752.21
  5. Step 5: Solve for x
    x = 7,018,752.21/2,297.61
  6. Step 6: Final answer
    x = 3,054.81

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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.