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Finding the Fourth Proportional to 1,853.44, 2,557.65 and 1,014.15

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Solution

The fourth proportional to 1,853.44, 2,557.65 and 1,014.15 is: 1,399.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,853.44 : 2,557.65 = 1,014.15 : x
  2. Step 2: Convert to fraction form
    1,853.44/2,557.65 = 1,014.15/x
  3. Step 3: Cross multiply
    1,853.44x = 2,557.65 × 1,014.15
  4. Step 4: Simplify right side
    1,853.44x = 2,593,829.71
  5. Step 5: Solve for x
    x = 2,593,829.71/1,853.44
  6. Step 6: Final answer
    x = 1,399.46

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