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Finding the Fourth Proportional to 1,014.16, 1,519.08 and 937.30

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Solution

The fourth proportional to 1,014.16, 1,519.08 and 937.30 is: 1,403.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014.16 : 1,519.08 = 937.30 : x
  2. Step 2: Convert to fraction form
    1,014.16/1,519.08 = 937.30/x
  3. Step 3: Cross multiply
    1,014.16x = 1,519.08 × 937.30
  4. Step 4: Simplify right side
    1,014.16x = 1,423,833.68
  5. Step 5: Solve for x
    x = 1,423,833.68/1,014.16
  6. Step 6: Final answer
    x = 1,403.95

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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.