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Finding the Fourth Proportional to 2,092.64, 3,133.01 and 1,598.47

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Solution

The fourth proportional to 2,092.64, 3,133.01 and 1,598.47 is: 2,393.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,092.64 : 3,133.01 = 1,598.47 : x
  2. Step 2: Convert to fraction form
    2,092.64/3,133.01 = 1,598.47/x
  3. Step 3: Cross multiply
    2,092.64x = 3,133.01 × 1,598.47
  4. Step 4: Simplify right side
    2,092.64x = 5,008,018.66
  5. Step 5: Solve for x
    x = 5,008,018.66/2,092.64
  6. Step 6: Final answer
    x = 2,393.16

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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.