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Finding the Fourth Proportional to 1,518.02, 2,270.96 and 1,314.80

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Solution

The fourth proportional to 1,518.02, 2,270.96 and 1,314.80 is: 1,966.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,518.02 : 2,270.96 = 1,314.80 : x
  2. Step 2: Convert to fraction form
    1,518.02/2,270.96 = 1,314.80/x
  3. Step 3: Cross multiply
    1,518.02x = 2,270.96 × 1,314.80
  4. Step 4: Simplify right side
    1,518.02x = 2,985,858.21
  5. Step 5: Solve for x
    x = 2,985,858.21/1,518.02
  6. Step 6: Final answer
    x = 1,966.94

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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.