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Finding the Fourth Proportional to 2,506.86, 3,756.87 and 1,464.66

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Solution

The fourth proportional to 2,506.86, 3,756.87 and 1,464.66 is: 2,194.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,506.86 : 3,756.87 = 1,464.66 : x
  2. Step 2: Convert to fraction form
    2,506.86/3,756.87 = 1,464.66/x
  3. Step 3: Cross multiply
    2,506.86x = 3,756.87 × 1,464.66
  4. Step 4: Simplify right side
    2,506.86x = 5,502,537.21
  5. Step 5: Solve for x
    x = 5,502,537.21/2,506.86
  6. Step 6: Final answer
    x = 2,194.99

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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.