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Finding the Fourth Proportional to 1,817.64, 2,507.22 and 1,293.84

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Solution

The fourth proportional to 1,817.64, 2,507.22 and 1,293.84 is: 1,784.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,817.64 : 2,507.22 = 1,293.84 : x
  2. Step 2: Convert to fraction form
    1,817.64/2,507.22 = 1,293.84/x
  3. Step 3: Cross multiply
    1,817.64x = 2,507.22 × 1,293.84
  4. Step 4: Simplify right side
    1,817.64x = 3,243,941.52
  5. Step 5: Solve for x
    x = 3,243,941.52/1,817.64
  6. Step 6: Final answer
    x = 1,784.70

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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.