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Finding the Fourth Proportional to 1,515.15, 2,270.40 and 897.63

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Solution

The fourth proportional to 1,515.15, 2,270.40 and 897.63 is: 1,345.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,515.15 : 2,270.40 = 897.63 : x
  2. Step 2: Convert to fraction form
    1,515.15/2,270.40 = 897.63/x
  3. Step 3: Cross multiply
    1,515.15x = 2,270.40 × 897.63
  4. Step 4: Simplify right side
    1,515.15x = 2,037,976.31
  5. Step 5: Solve for x
    x = 2,037,976.31/1,515.15
  6. Step 6: Final answer
    x = 1,345.06

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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.