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Finding the Fourth Proportional to 4,651.61, 6,977.48 and 1,364.78

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Solution

The fourth proportional to 4,651.61, 6,977.48 and 1,364.78 is: 2,047.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,651.61 : 6,977.48 = 1,364.78 : x
  2. Step 2: Convert to fraction form
    4,651.61/6,977.48 = 1,364.78/x
  3. Step 3: Cross multiply
    4,651.61x = 6,977.48 × 1,364.78
  4. Step 4: Simplify right side
    4,651.61x = 9,522,683.44
  5. Step 5: Solve for x
    x = 9,522,683.44/4,651.61
  6. Step 6: Final answer
    x = 2,047.18

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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.