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Finding the Fourth Proportional to 2,394.04, 3,302.76 and 1,462

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Solution

The fourth proportional to 2,394.04, 3,302.76 and 1,462 is: 2,016.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,394.04 : 3,302.76 = 1,462 : x
  2. Step 2: Convert to fraction form
    2,394.04/3,302.76 = 1,462/x
  3. Step 3: Cross multiply
    2,394.04x = 3,302.76 × 1,462
  4. Step 4: Simplify right side
    2,394.04x = 4,828,635.12
  5. Step 5: Solve for x
    x = 4,828,635.12/2,394.04
  6. Step 6: Final answer
    x = 2,016.94

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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.