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Finding the Fourth Proportional to 2,140.39, 3,210.57 and 601.39

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Solution

The fourth proportional to 2,140.39, 3,210.57 and 601.39 is: 902.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,140.39 : 3,210.57 = 601.39 : x
  2. Step 2: Convert to fraction form
    2,140.39/3,210.57 = 601.39/x
  3. Step 3: Cross multiply
    2,140.39x = 3,210.57 × 601.39
  4. Step 4: Simplify right side
    2,140.39x = 1,930,804.69
  5. Step 5: Solve for x
    x = 1,930,804.69/2,140.39
  6. Step 6: Final answer
    x = 902.08

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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.