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Finding the Fourth Proportional to 2,365.32, 3,545.10 and 2,072.10

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Solution

The fourth proportional to 2,365.32, 3,545.10 and 2,072.10 is: 3,105.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,365.32 : 3,545.10 = 2,072.10 : x
  2. Step 2: Convert to fraction form
    2,365.32/3,545.10 = 2,072.10/x
  3. Step 3: Cross multiply
    2,365.32x = 3,545.10 × 2,072.10
  4. Step 4: Simplify right side
    2,365.32x = 7,345,801.71
  5. Step 5: Solve for x
    x = 7,345,801.71/2,365.32
  6. Step 6: Final answer
    x = 3,105.63

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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.