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Finding the Fourth Proportional to 1,642.68, 2,459.16 and 1,571.40

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Solution

The fourth proportional to 1,642.68, 2,459.16 and 1,571.40 is: 2,352.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,642.68 : 2,459.16 = 1,571.40 : x
  2. Step 2: Convert to fraction form
    1,642.68/2,459.16 = 1,571.40/x
  3. Step 3: Cross multiply
    1,642.68x = 2,459.16 × 1,571.40
  4. Step 4: Simplify right side
    1,642.68x = 3,864,324.02
  5. Step 5: Solve for x
    x = 3,864,324.02/1,642.68
  6. Step 6: Final answer
    x = 2,352.45

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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.