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Finding the Fourth Proportional to 3,107.61, 4,652.16 and 2,064

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Solution

The fourth proportional to 3,107.61, 4,652.16 and 2,064 is: 3,089.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,107.61 : 4,652.16 = 2,064 : x
  2. Step 2: Convert to fraction form
    3,107.61/4,652.16 = 2,064/x
  3. Step 3: Cross multiply
    3,107.61x = 4,652.16 × 2,064
  4. Step 4: Simplify right side
    3,107.61x = 9,602,058.24
  5. Step 5: Solve for x
    x = 9,602,058.24/3,107.61
  6. Step 6: Final answer
    x = 3,089.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.