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Finding the Fourth Proportional to 2,313.06, 3,184.02 and 1,752.54

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Solution

The fourth proportional to 2,313.06, 3,184.02 and 1,752.54 is: 2,412.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,313.06 : 3,184.02 = 1,752.54 : x
  2. Step 2: Convert to fraction form
    2,313.06/3,184.02 = 1,752.54/x
  3. Step 3: Cross multiply
    2,313.06x = 3,184.02 × 1,752.54
  4. Step 4: Simplify right side
    2,313.06x = 5,580,122.41
  5. Step 5: Solve for x
    x = 5,580,122.41/2,313.06
  6. Step 6: Final answer
    x = 2,412.44

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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.