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Finding the Fourth Proportional to 2,900.10, 4,350.14 and 708.80

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Solution

The fourth proportional to 2,900.10, 4,350.14 and 708.80 is: 1,063.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,900.10 : 4,350.14 = 708.80 : x
  2. Step 2: Convert to fraction form
    2,900.10/4,350.14 = 708.80/x
  3. Step 3: Cross multiply
    2,900.10x = 4,350.14 × 708.80
  4. Step 4: Simplify right side
    2,900.10x = 3,083,370.13
  5. Step 5: Solve for x
    x = 3,083,370.13/2,900.10
  6. Step 6: Final answer
    x = 1,063.20

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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.