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Finding the Fourth Proportional to 2,054.16, 3,080.64 and 593.28

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Solution

The fourth proportional to 2,054.16, 3,080.64 and 593.28 is: 889.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,054.16 : 3,080.64 = 593.28 : x
  2. Step 2: Convert to fraction form
    2,054.16/3,080.64 = 593.28/x
  3. Step 3: Cross multiply
    2,054.16x = 3,080.64 × 593.28
  4. Step 4: Simplify right side
    2,054.16x = 1,827,682.10
  5. Step 5: Solve for x
    x = 1,827,682.10/2,054.16
  6. Step 6: Final answer
    x = 889.75

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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.