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Finding the Fourth Proportional to 2,140.21, 3,210.18 and 906.85

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Solution

The fourth proportional to 2,140.21, 3,210.18 and 906.85 is: 1,360.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,140.21 : 3,210.18 = 906.85 : x
  2. Step 2: Convert to fraction form
    2,140.21/3,210.18 = 906.85/x
  3. Step 3: Cross multiply
    2,140.21x = 3,210.18 × 906.85
  4. Step 4: Simplify right side
    2,140.21x = 2,911,151.73
  5. Step 5: Solve for x
    x = 2,911,151.73/2,140.21
  6. Step 6: Final answer
    x = 1,360.22

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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.