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Finding the Fourth Proportional to 2,874.36, 4,310.46 and 1,024.98

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Solution

The fourth proportional to 2,874.36, 4,310.46 and 1,024.98 is: 1,537.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,874.36 : 4,310.46 = 1,024.98 : x
  2. Step 2: Convert to fraction form
    2,874.36/4,310.46 = 1,024.98/x
  3. Step 3: Cross multiply
    2,874.36x = 4,310.46 × 1,024.98
  4. Step 4: Simplify right side
    2,874.36x = 4,418,113.74
  5. Step 5: Solve for x
    x = 4,418,113.74/2,874.36
  6. Step 6: Final answer
    x = 1,537.08

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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.