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Finding the Fourth Proportional to 1,455.23, 2,184.12 and 797.71

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Solution

The fourth proportional to 1,455.23, 2,184.12 and 797.71 is: 1,197.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,455.23 : 2,184.12 = 797.71 : x
  2. Step 2: Convert to fraction form
    1,455.23/2,184.12 = 797.71/x
  3. Step 3: Cross multiply
    1,455.23x = 2,184.12 × 797.71
  4. Step 4: Simplify right side
    1,455.23x = 1,742,283.44
  5. Step 5: Solve for x
    x = 1,742,283.44/1,455.23
  6. Step 6: Final answer
    x = 1,197.26

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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.