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Finding the Fourth Proportional to 1,455.56, 2,008.55 and 1,014.41

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Solution

The fourth proportional to 1,455.56, 2,008.55 and 1,014.41 is: 1,399.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,455.56 : 2,008.55 = 1,014.41 : x
  2. Step 2: Convert to fraction form
    1,455.56/2,008.55 = 1,014.41/x
  3. Step 3: Cross multiply
    1,455.56x = 2,008.55 × 1,014.41
  4. Step 4: Simplify right side
    1,455.56x = 2,037,478.09
  5. Step 5: Solve for x
    x = 2,037,478.09/1,455.56
  6. Step 6: Final answer
    x = 1,399.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.