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Finding the Fourth Proportional to 2,246.14, 3,368.96 and 602.56

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Solution

The fourth proportional to 2,246.14, 3,368.96 and 602.56 is: 903.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,246.14 : 3,368.96 = 602.56 : x
  2. Step 2: Convert to fraction form
    2,246.14/3,368.96 = 602.56/x
  3. Step 3: Cross multiply
    2,246.14x = 3,368.96 × 602.56
  4. Step 4: Simplify right side
    2,246.14x = 2,030,004.00
  5. Step 5: Solve for x
    x = 2,030,004.00/2,246.14
  6. Step 6: Final answer
    x = 903.77

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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.