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Finding the Fourth Proportional to 2,459.71, 3,394.33 and 1,412.11

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Solution

The fourth proportional to 2,459.71, 3,394.33 and 1,412.11 is: 1,948.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,459.71 : 3,394.33 = 1,412.11 : x
  2. Step 2: Convert to fraction form
    2,459.71/3,394.33 = 1,412.11/x
  3. Step 3: Cross multiply
    2,459.71x = 3,394.33 × 1,412.11
  4. Step 4: Simplify right side
    2,459.71x = 4,793,167.34
  5. Step 5: Solve for x
    x = 4,793,167.34/2,459.71
  6. Step 6: Final answer
    x = 1,948.67

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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.