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Finding the Fourth Proportional to 3,158.64, 4,734 and 2,430.96

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Solution

The fourth proportional to 3,158.64, 4,734 and 2,430.96 is: 3,643.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,158.64 : 4,734 = 2,430.96 : x
  2. Step 2: Convert to fraction form
    3,158.64/4,734 = 2,430.96/x
  3. Step 3: Cross multiply
    3,158.64x = 4,734 × 2,430.96
  4. Step 4: Simplify right side
    3,158.64x = 11,508,164.64
  5. Step 5: Solve for x
    x = 11,508,164.64/3,158.64
  6. Step 6: Final answer
    x = 3,643.39

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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.