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Finding the Fourth Proportional to 2,459.46, 3,394.05 and 1,464.75

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Solution

The fourth proportional to 2,459.46, 3,394.05 and 1,464.75 is: 2,021.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,459.46 : 3,394.05 = 1,464.75 : x
  2. Step 2: Convert to fraction form
    2,459.46/3,394.05 = 1,464.75/x
  3. Step 3: Cross multiply
    2,459.46x = 3,394.05 × 1,464.75
  4. Step 4: Simplify right side
    2,459.46x = 4,971,434.74
  5. Step 5: Solve for x
    x = 4,971,434.74/2,459.46
  6. Step 6: Final answer
    x = 2,021.35

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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.