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Finding the Fourth Proportional to 2,916.50, 4,024.77 and 1,674.74

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Solution

The fourth proportional to 2,916.50, 4,024.77 and 1,674.74 is: 2,311.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,916.50 : 4,024.77 = 1,674.74 : x
  2. Step 2: Convert to fraction form
    2,916.50/4,024.77 = 1,674.74/x
  3. Step 3: Cross multiply
    2,916.50x = 4,024.77 × 1,674.74
  4. Step 4: Simplify right side
    2,916.50x = 6,740,443.31
  5. Step 5: Solve for x
    x = 6,740,443.31/2,916.50
  6. Step 6: Final answer
    x = 2,311.14

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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.