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Finding the Fourth Proportional to 2,459.68, 3,392.82 and 1,464.28

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Solution

The fourth proportional to 2,459.68, 3,392.82 and 1,464.28 is: 2,019.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,459.68 : 3,392.82 = 1,464.28 : x
  2. Step 2: Convert to fraction form
    2,459.68/3,392.82 = 1,464.28/x
  3. Step 3: Cross multiply
    2,459.68x = 3,392.82 × 1,464.28
  4. Step 4: Simplify right side
    2,459.68x = 4,968,038.47
  5. Step 5: Solve for x
    x = 4,968,038.47/2,459.68
  6. Step 6: Final answer
    x = 2,019.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.