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Finding the Fourth Proportional to 2,312.01, 3,465.93 and 850.80

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Solution

The fourth proportional to 2,312.01, 3,465.93 and 850.80 is: 1,275.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,312.01 : 3,465.93 = 850.80 : x
  2. Step 2: Convert to fraction form
    2,312.01/3,465.93 = 850.80/x
  3. Step 3: Cross multiply
    2,312.01x = 3,465.93 × 850.80
  4. Step 4: Simplify right side
    2,312.01x = 2,948,813.24
  5. Step 5: Solve for x
    x = 2,948,813.24/2,312.01
  6. Step 6: Final answer
    x = 1,275.43

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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.