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Finding the Fourth Proportional to 1,534.73, 2,104.13 and 1,507.05

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Solution

The fourth proportional to 1,534.73, 2,104.13 and 1,507.05 is: 2,066.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,534.73 : 2,104.13 = 1,507.05 : x
  2. Step 2: Convert to fraction form
    1,534.73/2,104.13 = 1,507.05/x
  3. Step 3: Cross multiply
    1,534.73x = 2,104.13 × 1,507.05
  4. Step 4: Simplify right side
    1,534.73x = 3,171,032.88
  5. Step 5: Solve for x
    x = 3,171,032.88/1,534.73
  6. Step 6: Final answer
    x = 2,066.19

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.