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Finding the Fourth Proportional to 2,228.64, 3,343.48 and 929.40

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Solution

The fourth proportional to 2,228.64, 3,343.48 and 929.40 is: 1,394.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,228.64 : 3,343.48 = 929.40 : x
  2. Step 2: Convert to fraction form
    2,228.64/3,343.48 = 929.40/x
  3. Step 3: Cross multiply
    2,228.64x = 3,343.48 × 929.40
  4. Step 4: Simplify right side
    2,228.64x = 3,107,430.31
  5. Step 5: Solve for x
    x = 3,107,430.31/2,228.64
  6. Step 6: Final answer
    x = 1,394.32

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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.