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Finding the Fourth Proportional to 2,140.12, 3,210.18 and 601.24

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Solution

The fourth proportional to 2,140.12, 3,210.18 and 601.24 is: 901.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,140.12 : 3,210.18 = 601.24 : x
  2. Step 2: Convert to fraction form
    2,140.12/3,210.18 = 601.24/x
  3. Step 3: Cross multiply
    2,140.12x = 3,210.18 × 601.24
  4. Step 4: Simplify right side
    2,140.12x = 1,930,088.62
  5. Step 5: Solve for x
    x = 1,930,088.62/2,140.12
  6. Step 6: Final answer
    x = 901.86

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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.