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Finding the Fourth Proportional to 1,671.02, 2,506.96 and 696.92

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Solution

The fourth proportional to 1,671.02, 2,506.96 and 696.92 is: 1,045.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,671.02 : 2,506.96 = 696.92 : x
  2. Step 2: Convert to fraction form
    1,671.02/2,506.96 = 696.92/x
  3. Step 3: Cross multiply
    1,671.02x = 2,506.96 × 696.92
  4. Step 4: Simplify right side
    1,671.02x = 1,747,150.56
  5. Step 5: Solve for x
    x = 1,747,150.56/1,671.02
  6. Step 6: Final answer
    x = 1,045.56

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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.