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Finding the Fourth Proportional to 2,744.99, 4,117.88 and 895.72

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Solution

The fourth proportional to 2,744.99, 4,117.88 and 895.72 is: 1,343.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,744.99 : 4,117.88 = 895.72 : x
  2. Step 2: Convert to fraction form
    2,744.99/4,117.88 = 895.72/x
  3. Step 3: Cross multiply
    2,744.99x = 4,117.88 × 895.72
  4. Step 4: Simplify right side
    2,744.99x = 3,688,442.41
  5. Step 5: Solve for x
    x = 3,688,442.41/2,744.99
  6. Step 6: Final answer
    x = 1,343.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.