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Finding the Fourth Proportional to 1,866.56, 2,812.49 and 1,549.04

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Solution

The fourth proportional to 1,866.56, 2,812.49 and 1,549.04 is: 2,334.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,866.56 : 2,812.49 = 1,549.04 : x
  2. Step 2: Convert to fraction form
    1,866.56/2,812.49 = 1,549.04/x
  3. Step 3: Cross multiply
    1,866.56x = 2,812.49 × 1,549.04
  4. Step 4: Simplify right side
    1,866.56x = 4,356,659.51
  5. Step 5: Solve for x
    x = 4,356,659.51/1,866.56
  6. Step 6: Final answer
    x = 2,334.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.