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Finding the Fourth Proportional to 2,460.87, 3,681.99 and 1,769.13

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Solution

The fourth proportional to 2,460.87, 3,681.99 and 1,769.13 is: 2,647.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,460.87 : 3,681.99 = 1,769.13 : x
  2. Step 2: Convert to fraction form
    2,460.87/3,681.99 = 1,769.13/x
  3. Step 3: Cross multiply
    2,460.87x = 3,681.99 × 1,769.13
  4. Step 4: Simplify right side
    2,460.87x = 6,513,918.97
  5. Step 5: Solve for x
    x = 6,513,918.97/2,460.87
  6. Step 6: Final answer
    x = 2,647.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.