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Finding the Fourth Proportional to 2,140.52, 3,210.52 and 580.42

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Solution

The fourth proportional to 2,140.52, 3,210.52 and 580.42 is: 870.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,140.52 : 3,210.52 = 580.42 : x
  2. Step 2: Convert to fraction form
    2,140.52/3,210.52 = 580.42/x
  3. Step 3: Cross multiply
    2,140.52x = 3,210.52 × 580.42
  4. Step 4: Simplify right side
    2,140.52x = 1,863,452.58
  5. Step 5: Solve for x
    x = 1,863,452.58/2,140.52
  6. Step 6: Final answer
    x = 870.56

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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.