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Finding the Fourth Proportional to 2,694.46, 4,040.43 and 1,598.98

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Solution

The fourth proportional to 2,694.46, 4,040.43 and 1,598.98 is: 2,397.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,694.46 : 4,040.43 = 1,598.98 : x
  2. Step 2: Convert to fraction form
    2,694.46/4,040.43 = 1,598.98/x
  3. Step 3: Cross multiply
    2,694.46x = 4,040.43 × 1,598.98
  4. Step 4: Simplify right side
    2,694.46x = 6,460,566.76
  5. Step 5: Solve for x
    x = 6,460,566.76/2,694.46
  6. Step 6: Final answer
    x = 2,397.72

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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.