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Finding the Fourth Proportional to 2,026.08, 3,038.96 and 658.08

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Solution

The fourth proportional to 2,026.08, 3,038.96 and 658.08 is: 987.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,026.08 : 3,038.96 = 658.08 : x
  2. Step 2: Convert to fraction form
    2,026.08/3,038.96 = 658.08/x
  3. Step 3: Cross multiply
    2,026.08x = 3,038.96 × 658.08
  4. Step 4: Simplify right side
    2,026.08x = 1,999,878.80
  5. Step 5: Solve for x
    x = 1,999,878.80/2,026.08
  6. Step 6: Final answer
    x = 987.07

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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.