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Finding the Fourth Proportional to 2,602.83, 3,904.20 and 654.99

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Solution

The fourth proportional to 2,602.83, 3,904.20 and 654.99 is: 982.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,602.83 : 3,904.20 = 654.99 : x
  2. Step 2: Convert to fraction form
    2,602.83/3,904.20 = 654.99/x
  3. Step 3: Cross multiply
    2,602.83x = 3,904.20 × 654.99
  4. Step 4: Simplify right side
    2,602.83x = 2,557,197.32
  5. Step 5: Solve for x
    x = 2,557,197.32/2,602.83
  6. Step 6: Final answer
    x = 982.47

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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.