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Finding the Fourth Proportional to 4,155.89, 6,229.05 and 1,688

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Solution

The fourth proportional to 4,155.89, 6,229.05 and 1,688 is: 2,530.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,155.89 : 6,229.05 = 1,688 : x
  2. Step 2: Convert to fraction form
    4,155.89/6,229.05 = 1,688/x
  3. Step 3: Cross multiply
    4,155.89x = 6,229.05 × 1,688
  4. Step 4: Simplify right side
    4,155.89x = 10,514,636.40
  5. Step 5: Solve for x
    x = 10,514,636.40/4,155.89
  6. Step 6: Final answer
    x = 2,530.06

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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.