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Finding the Fourth Proportional to 2,032.79, 3,048.83 and 571.59

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Solution

The fourth proportional to 2,032.79, 3,048.83 and 571.59 is: 857.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,032.79 : 3,048.83 = 571.59 : x
  2. Step 2: Convert to fraction form
    2,032.79/3,048.83 = 571.59/x
  3. Step 3: Cross multiply
    2,032.79x = 3,048.83 × 571.59
  4. Step 4: Simplify right side
    2,032.79x = 1,742,691.46
  5. Step 5: Solve for x
    x = 1,742,691.46/2,032.79
  6. Step 6: Final answer
    x = 857.29

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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.