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Finding the Fourth Proportional to 2,513.62, 3,763.47 and 1,895.46

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Solution

The fourth proportional to 2,513.62, 3,763.47 and 1,895.46 is: 2,837.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,513.62 : 3,763.47 = 1,895.46 : x
  2. Step 2: Convert to fraction form
    2,513.62/3,763.47 = 1,895.46/x
  3. Step 3: Cross multiply
    2,513.62x = 3,763.47 × 1,895.46
  4. Step 4: Simplify right side
    2,513.62x = 7,133,506.85
  5. Step 5: Solve for x
    x = 7,133,506.85/2,513.62
  6. Step 6: Final answer
    x = 2,837.94

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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.