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Finding the Fourth Proportional to 1,453.62, 2,161.74 and 1,407.48

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Solution

The fourth proportional to 1,453.62, 2,161.74 and 1,407.48 is: 2,093.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,453.62 : 2,161.74 = 1,407.48 : x
  2. Step 2: Convert to fraction form
    1,453.62/2,161.74 = 1,407.48/x
  3. Step 3: Cross multiply
    1,453.62x = 2,161.74 × 1,407.48
  4. Step 4: Simplify right side
    1,453.62x = 3,042,605.82
  5. Step 5: Solve for x
    x = 3,042,605.82/1,453.62
  6. Step 6: Final answer
    x = 2,093.12

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.