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Finding the Fourth Proportional to 2,976.64, 4,104.29 and 2,415.35

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Solution

The fourth proportional to 2,976.64, 4,104.29 and 2,415.35 is: 3,330.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,976.64 : 4,104.29 = 2,415.35 : x
  2. Step 2: Convert to fraction form
    2,976.64/4,104.29 = 2,415.35/x
  3. Step 3: Cross multiply
    2,976.64x = 4,104.29 × 2,415.35
  4. Step 4: Simplify right side
    2,976.64x = 9,913,313.15
  5. Step 5: Solve for x
    x = 9,913,313.15/2,976.64
  6. Step 6: Final answer
    x = 3,330.37

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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.