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Finding the Fourth Proportional to 2,252.94, 3,105.34 and 1,506.63

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Solution

The fourth proportional to 2,252.94, 3,105.34 and 1,506.63 is: 2,076.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,252.94 : 3,105.34 = 1,506.63 : x
  2. Step 2: Convert to fraction form
    2,252.94/3,105.34 = 1,506.63/x
  3. Step 3: Cross multiply
    2,252.94x = 3,105.34 × 1,506.63
  4. Step 4: Simplify right side
    2,252.94x = 4,678,598.40
  5. Step 5: Solve for x
    x = 4,678,598.40/2,252.94
  6. Step 6: Final answer
    x = 2,076.66

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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.