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Finding the Fourth Proportional to 2,295.44, 3,165.74 and 1,455.20

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Solution

The fourth proportional to 2,295.44, 3,165.74 and 1,455.20 is: 2,006.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,295.44 : 3,165.74 = 1,455.20 : x
  2. Step 2: Convert to fraction form
    2,295.44/3,165.74 = 1,455.20/x
  3. Step 3: Cross multiply
    2,295.44x = 3,165.74 × 1,455.20
  4. Step 4: Simplify right side
    2,295.44x = 4,606,784.85
  5. Step 5: Solve for x
    x = 4,606,784.85/2,295.44
  6. Step 6: Final answer
    x = 2,006.93

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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.