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Finding the Fourth Proportional to 3,070.80, 4,602.91 and 1,751.71

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Solution

The fourth proportional to 3,070.80, 4,602.91 and 1,751.71 is: 2,625.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,070.80 : 4,602.91 = 1,751.71 : x
  2. Step 2: Convert to fraction form
    3,070.80/4,602.91 = 1,751.71/x
  3. Step 3: Cross multiply
    3,070.80x = 4,602.91 × 1,751.71
  4. Step 4: Simplify right side
    3,070.80x = 8,062,957.44
  5. Step 5: Solve for x
    x = 8,062,957.44/3,070.80
  6. Step 6: Final answer
    x = 2,625.69

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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.