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Finding the Fourth Proportional to 2,364.19, 3,545.45 and 976.92

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Solution

The fourth proportional to 2,364.19, 3,545.45 and 976.92 is: 1,465.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,364.19 : 3,545.45 = 976.92 : x
  2. Step 2: Convert to fraction form
    2,364.19/3,545.45 = 976.92/x
  3. Step 3: Cross multiply
    2,364.19x = 3,545.45 × 976.92
  4. Step 4: Simplify right side
    2,364.19x = 3,463,611.99
  5. Step 5: Solve for x
    x = 3,463,611.99/2,364.19
  6. Step 6: Final answer
    x = 1,465.03

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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.