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Finding the Fourth Proportional to 2,365.25, 3,545.98 and 1,533.16

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Solution

The fourth proportional to 2,365.25, 3,545.98 and 1,533.16 is: 2,298.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,365.25 : 3,545.98 = 1,533.16 : x
  2. Step 2: Convert to fraction form
    2,365.25/3,545.98 = 1,533.16/x
  3. Step 3: Cross multiply
    2,365.25x = 3,545.98 × 1,533.16
  4. Step 4: Simplify right side
    2,365.25x = 5,436,554.70
  5. Step 5: Solve for x
    x = 5,436,554.70/2,365.25
  6. Step 6: Final answer
    x = 2,298.51

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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.