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Finding the Fourth Proportional to 2,054.21, 2,837.16 and 1,497.16

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Solution

The fourth proportional to 2,054.21, 2,837.16 and 1,497.16 is: 2,067.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,054.21 : 2,837.16 = 1,497.16 : x
  2. Step 2: Convert to fraction form
    2,054.21/2,837.16 = 1,497.16/x
  3. Step 3: Cross multiply
    2,054.21x = 2,837.16 × 1,497.16
  4. Step 4: Simplify right side
    2,054.21x = 4,247,686.01
  5. Step 5: Solve for x
    x = 4,247,686.01/2,054.21
  6. Step 6: Final answer
    x = 2,067.80

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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.