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Finding the Fourth Proportional to 2,139.85, 3,210.09 and 1,153.18

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Solution

The fourth proportional to 2,139.85, 3,210.09 and 1,153.18 is: 1,729.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,139.85 : 3,210.09 = 1,153.18 : x
  2. Step 2: Convert to fraction form
    2,139.85/3,210.09 = 1,153.18/x
  3. Step 3: Cross multiply
    2,139.85x = 3,210.09 × 1,153.18
  4. Step 4: Simplify right side
    2,139.85x = 3,701,811.59
  5. Step 5: Solve for x
    x = 3,701,811.59/2,139.85
  6. Step 6: Final answer
    x = 1,729.94

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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.