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Finding the Fourth Proportional to 1,455.48, 2,193.96 and 1,213.62

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Solution

The fourth proportional to 1,455.48, 2,193.96 and 1,213.62 is: 1,829.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,455.48 : 2,193.96 = 1,213.62 : x
  2. Step 2: Convert to fraction form
    1,455.48/2,193.96 = 1,213.62/x
  3. Step 3: Cross multiply
    1,455.48x = 2,193.96 × 1,213.62
  4. Step 4: Simplify right side
    1,455.48x = 2,662,633.74
  5. Step 5: Solve for x
    x = 2,662,633.74/1,455.48
  6. Step 6: Final answer
    x = 1,829.39

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.