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Finding the Fourth Proportional to 1,515.64, 2,270.54 and 1,269.24

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Solution

The fourth proportional to 1,515.64, 2,270.54 and 1,269.24 is: 1,901.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,515.64 : 2,270.54 = 1,269.24 : x
  2. Step 2: Convert to fraction form
    1,515.64/2,270.54 = 1,269.24/x
  3. Step 3: Cross multiply
    1,515.64x = 2,270.54 × 1,269.24
  4. Step 4: Simplify right side
    1,515.64x = 2,881,860.19
  5. Step 5: Solve for x
    x = 2,881,860.19/1,515.64
  6. Step 6: Final answer
    x = 1,901.41

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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.