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Finding the Fourth Proportional to 2,600.02, 3,900.11 and 869.14

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Solution

The fourth proportional to 2,600.02, 3,900.11 and 869.14 is: 1,303.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,600.02 : 3,900.11 = 869.14 : x
  2. Step 2: Convert to fraction form
    2,600.02/3,900.11 = 869.14/x
  3. Step 3: Cross multiply
    2,600.02x = 3,900.11 × 869.14
  4. Step 4: Simplify right side
    2,600.02x = 3,389,741.61
  5. Step 5: Solve for x
    x = 3,389,741.61/2,600.02
  6. Step 6: Final answer
    x = 1,303.74

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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.