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Finding the Fourth Proportional to 2,055.65, 3,083.93 and 594.68

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Solution

The fourth proportional to 2,055.65, 3,083.93 and 594.68 is: 892.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,055.65 : 3,083.93 = 594.68 : x
  2. Step 2: Convert to fraction form
    2,055.65/3,083.93 = 594.68/x
  3. Step 3: Cross multiply
    2,055.65x = 3,083.93 × 594.68
  4. Step 4: Simplify right side
    2,055.65x = 1,833,933.10
  5. Step 5: Solve for x
    x = 1,833,933.10/2,055.65
  6. Step 6: Final answer
    x = 892.14

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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.