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Finding the Fourth Proportional to 2,602.02, 3,902.85 and 958.26

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Solution

The fourth proportional to 2,602.02, 3,902.85 and 958.26 is: 1,437.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,602.02 : 3,902.85 = 958.26 : x
  2. Step 2: Convert to fraction form
    2,602.02/3,902.85 = 958.26/x
  3. Step 3: Cross multiply
    2,602.02x = 3,902.85 × 958.26
  4. Step 4: Simplify right side
    2,602.02x = 3,739,945.04
  5. Step 5: Solve for x
    x = 3,739,945.04/2,602.02
  6. Step 6: Final answer
    x = 1,437.32

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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.