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Finding the Fourth Proportional to 2,140.59, 3,210.39 and 969.87

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Solution

The fourth proportional to 2,140.59, 3,210.39 and 969.87 is: 1,454.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,140.59 : 3,210.39 = 969.87 : x
  2. Step 2: Convert to fraction form
    2,140.59/3,210.39 = 969.87/x
  3. Step 3: Cross multiply
    2,140.59x = 3,210.39 × 969.87
  4. Step 4: Simplify right side
    2,140.59x = 3,113,660.95
  5. Step 5: Solve for x
    x = 3,113,660.95/2,140.59
  6. Step 6: Final answer
    x = 1,454.58

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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.