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Finding the Fourth Proportional to 2,354.72, 3,545.72 and 2,069.60

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Solution

The fourth proportional to 2,354.72, 3,545.72 and 2,069.60 is: 3,116.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,354.72 : 3,545.72 = 2,069.60 : x
  2. Step 2: Convert to fraction form
    2,354.72/3,545.72 = 2,069.60/x
  3. Step 3: Cross multiply
    2,354.72x = 3,545.72 × 2,069.60
  4. Step 4: Simplify right side
    2,354.72x = 7,338,222.11
  5. Step 5: Solve for x
    x = 7,338,222.11/2,354.72
  6. Step 6: Final answer
    x = 3,116.39

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.