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Finding the Fourth Proportional to 3,102.94, 4,652.61 and 1,252.54

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Solution

The fourth proportional to 3,102.94, 4,652.61 and 1,252.54 is: 1,878.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.94 : 4,652.61 = 1,252.54 : x
  2. Step 2: Convert to fraction form
    3,102.94/4,652.61 = 1,252.54/x
  3. Step 3: Cross multiply
    3,102.94x = 4,652.61 × 1,252.54
  4. Step 4: Simplify right side
    3,102.94x = 5,827,580.13
  5. Step 5: Solve for x
    x = 5,827,580.13/3,102.94
  6. Step 6: Final answer
    x = 1,878.08

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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.