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Finding the Fourth Proportional to 2,140.82, 3,210.42 and 753.69

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Solution

The fourth proportional to 2,140.82, 3,210.42 and 753.69 is: 1,130.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,140.82 : 3,210.42 = 753.69 : x
  2. Step 2: Convert to fraction form
    2,140.82/3,210.42 = 753.69/x
  3. Step 3: Cross multiply
    2,140.82x = 3,210.42 × 753.69
  4. Step 4: Simplify right side
    2,140.82x = 2,419,661.45
  5. Step 5: Solve for x
    x = 2,419,661.45/2,140.82
  6. Step 6: Final answer
    x = 1,130.25

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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.