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Finding the Fourth Proportional to 2,821.08, 4,230 and 2,658

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Solution

The fourth proportional to 2,821.08, 4,230 and 2,658 is: 3,985.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,821.08 : 4,230 = 2,658 : x
  2. Step 2: Convert to fraction form
    2,821.08/4,230 = 2,658/x
  3. Step 3: Cross multiply
    2,821.08x = 4,230 × 2,658
  4. Step 4: Simplify right side
    2,821.08x = 11,243,340
  5. Step 5: Solve for x
    x = 11,243,340/2,821.08
  6. Step 6: Final answer
    x = 3,985.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.