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Finding the Fourth Proportional to 3,264.46, 4,898.48 and 1,415.59

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Solution

The fourth proportional to 3,264.46, 4,898.48 and 1,415.59 is: 2,124.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,264.46 : 4,898.48 = 1,415.59 : x
  2. Step 2: Convert to fraction form
    3,264.46/4,898.48 = 1,415.59/x
  3. Step 3: Cross multiply
    3,264.46x = 4,898.48 × 1,415.59
  4. Step 4: Simplify right side
    3,264.46x = 6,934,235.83
  5. Step 5: Solve for x
    x = 6,934,235.83/3,264.46
  6. Step 6: Final answer
    x = 2,124.16

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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.