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Finding the Fourth Proportional to 2,143.53, 3,214.53 and 1,104.66

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Solution

The fourth proportional to 2,143.53, 3,214.53 and 1,104.66 is: 1,656.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,143.53 : 3,214.53 = 1,104.66 : x
  2. Step 2: Convert to fraction form
    2,143.53/3,214.53 = 1,104.66/x
  3. Step 3: Cross multiply
    2,143.53x = 3,214.53 × 1,104.66
  4. Step 4: Simplify right side
    2,143.53x = 3,550,962.71
  5. Step 5: Solve for x
    x = 3,550,962.71/2,143.53
  6. Step 6: Final answer
    x = 1,656.60

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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.