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Finding the Fourth Proportional to 3,107.61, 4,663.12 and 1,464.12

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Solution

The fourth proportional to 3,107.61, 4,663.12 and 1,464.12 is: 2,196.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,107.61 : 4,663.12 = 1,464.12 : x
  2. Step 2: Convert to fraction form
    3,107.61/4,663.12 = 1,464.12/x
  3. Step 3: Cross multiply
    3,107.61x = 4,663.12 × 1,464.12
  4. Step 4: Simplify right side
    3,107.61x = 6,827,347.60
  5. Step 5: Solve for x
    x = 6,827,347.60/3,107.61
  6. Step 6: Final answer
    x = 2,196.98

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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.