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Finding the Fourth Proportional to 2,055.40, 3,083.60 and 594.52

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Solution

The fourth proportional to 2,055.40, 3,083.60 and 594.52 is: 891.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,055.40 : 3,083.60 = 594.52 : x
  2. Step 2: Convert to fraction form
    2,055.40/3,083.60 = 594.52/x
  3. Step 3: Cross multiply
    2,055.40x = 3,083.60 × 594.52
  4. Step 4: Simplify right side
    2,055.40x = 1,833,261.87
  5. Step 5: Solve for x
    x = 1,833,261.87/2,055.40
  6. Step 6: Final answer
    x = 891.92

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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.