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Finding the Fourth Proportional to 2,410.61, 3,617.06 and 1,671.36

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Solution

The fourth proportional to 2,410.61, 3,617.06 and 1,671.36 is: 2,507.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,410.61 : 3,617.06 = 1,671.36 : x
  2. Step 2: Convert to fraction form
    2,410.61/3,617.06 = 1,671.36/x
  3. Step 3: Cross multiply
    2,410.61x = 3,617.06 × 1,671.36
  4. Step 4: Simplify right side
    2,410.61x = 6,045,401.04
  5. Step 5: Solve for x
    x = 6,045,401.04/2,410.61
  6. Step 6: Final answer
    x = 2,507.84

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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.