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Finding the Fourth Proportional to 1,464.93, 2,196.18 and 1,141.74

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Solution

The fourth proportional to 1,464.93, 2,196.18 and 1,141.74 is: 1,711.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,464.93 : 2,196.18 = 1,141.74 : x
  2. Step 2: Convert to fraction form
    1,464.93/2,196.18 = 1,141.74/x
  3. Step 3: Cross multiply
    1,464.93x = 2,196.18 × 1,141.74
  4. Step 4: Simplify right side
    1,464.93x = 2,507,466.55
  5. Step 5: Solve for x
    x = 2,507,466.55/1,464.93
  6. Step 6: Final answer
    x = 1,711.66

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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.