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Finding the Fourth Proportional to 2,297.01, 3,172.74 and 2,262.45

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Solution

The fourth proportional to 2,297.01, 3,172.74 and 2,262.45 is: 3,125.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297.01 : 3,172.74 = 2,262.45 : x
  2. Step 2: Convert to fraction form
    2,297.01/3,172.74 = 2,262.45/x
  3. Step 3: Cross multiply
    2,297.01x = 3,172.74 × 2,262.45
  4. Step 4: Simplify right side
    2,297.01x = 7,178,165.61
  5. Step 5: Solve for x
    x = 7,178,165.61/2,297.01
  6. Step 6: Final answer
    x = 3,125.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.