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Finding the Fourth Proportional to 4,695.89, 7,045.20 and 2,098.22

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Solution

The fourth proportional to 4,695.89, 7,045.20 and 2,098.22 is: 3,147.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,695.89 : 7,045.20 = 2,098.22 : x
  2. Step 2: Convert to fraction form
    4,695.89/7,045.20 = 2,098.22/x
  3. Step 3: Cross multiply
    4,695.89x = 7,045.20 × 2,098.22
  4. Step 4: Simplify right side
    4,695.89x = 14,782,344.32
  5. Step 5: Solve for x
    x = 14,782,344.32/4,695.89
  6. Step 6: Final answer
    x = 3,147.94

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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.