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Finding the Fourth Proportional to 1,640.71, 2,459.01 and 1,443.88

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Solution

The fourth proportional to 1,640.71, 2,459.01 and 1,443.88 is: 2,164.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,640.71 : 2,459.01 = 1,443.88 : x
  2. Step 2: Convert to fraction form
    1,640.71/2,459.01 = 1,443.88/x
  3. Step 3: Cross multiply
    1,640.71x = 2,459.01 × 1,443.88
  4. Step 4: Simplify right side
    1,640.71x = 3,550,501.89
  5. Step 5: Solve for x
    x = 3,550,501.89/1,640.71
  6. Step 6: Final answer
    x = 2,164.01

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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.