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Finding the Fourth Proportional to 4,643.52, 6,965.19 and 1,180.77

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Solution

The fourth proportional to 4,643.52, 6,965.19 and 1,180.77 is: 1,771.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,643.52 : 6,965.19 = 1,180.77 : x
  2. Step 2: Convert to fraction form
    4,643.52/6,965.19 = 1,180.77/x
  3. Step 3: Cross multiply
    4,643.52x = 6,965.19 × 1,180.77
  4. Step 4: Simplify right side
    4,643.52x = 8,224,287.40
  5. Step 5: Solve for x
    x = 8,224,287.40/4,643.52
  6. Step 6: Final answer
    x = 1,771.13

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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.