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Finding the Fourth Proportional to 2,602.86, 3,885.23 and 2,258.58

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Solution

The fourth proportional to 2,602.86, 3,885.23 and 2,258.58 is: 3,371.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,602.86 : 3,885.23 = 2,258.58 : x
  2. Step 2: Convert to fraction form
    2,602.86/3,885.23 = 2,258.58/x
  3. Step 3: Cross multiply
    2,602.86x = 3,885.23 × 2,258.58
  4. Step 4: Simplify right side
    2,602.86x = 8,775,102.77
  5. Step 5: Solve for x
    x = 8,775,102.77/2,602.86
  6. Step 6: Final answer
    x = 3,371.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.