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Finding the Fourth Proportional to 2,513.45, 3,767.09 and 1,895.19

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Solution

The fourth proportional to 2,513.45, 3,767.09 and 1,895.19 is: 2,840.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,513.45 : 3,767.09 = 1,895.19 : x
  2. Step 2: Convert to fraction form
    2,513.45/3,767.09 = 1,895.19/x
  3. Step 3: Cross multiply
    2,513.45x = 3,767.09 × 1,895.19
  4. Step 4: Simplify right side
    2,513.45x = 7,139,341.82
  5. Step 5: Solve for x
    x = 7,139,341.82/2,513.45
  6. Step 6: Final answer
    x = 2,840.46

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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.