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Finding the Fourth Proportional to 2,140.32, 3,210.36 and 753.72

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Solution

The fourth proportional to 2,140.32, 3,210.36 and 753.72 is: 1,130.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,140.32 : 3,210.36 = 753.72 : x
  2. Step 2: Convert to fraction form
    2,140.32/3,210.36 = 753.72/x
  3. Step 3: Cross multiply
    2,140.32x = 3,210.36 × 753.72
  4. Step 4: Simplify right side
    2,140.32x = 2,419,712.54
  5. Step 5: Solve for x
    x = 2,419,712.54/2,140.32
  6. Step 6: Final answer
    x = 1,130.54

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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.