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Finding the Fourth Proportional to 4,891.76, 7,336.68 and 1,605.20

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Solution

The fourth proportional to 4,891.76, 7,336.68 and 1,605.20 is: 2,407.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,891.76 : 7,336.68 = 1,605.20 : x
  2. Step 2: Convert to fraction form
    4,891.76/7,336.68 = 1,605.20/x
  3. Step 3: Cross multiply
    4,891.76x = 7,336.68 × 1,605.20
  4. Step 4: Simplify right side
    4,891.76x = 11,776,838.74
  5. Step 5: Solve for x
    x = 11,776,838.74/4,891.76
  6. Step 6: Final answer
    x = 2,407.48

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1.5x scale

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.