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Finding the Fourth Proportional to 1,743.51, 2,404.63 and 1,533.24

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Solution

The fourth proportional to 1,743.51, 2,404.63 and 1,533.24 is: 2,114.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,743.51 : 2,404.63 = 1,533.24 : x
  2. Step 2: Convert to fraction form
    1,743.51/2,404.63 = 1,533.24/x
  3. Step 3: Cross multiply
    1,743.51x = 2,404.63 × 1,533.24
  4. Step 4: Simplify right side
    1,743.51x = 3,686,874.90
  5. Step 5: Solve for x
    x = 3,686,874.90/1,743.51
  6. Step 6: Final answer
    x = 2,114.63

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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.