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Finding the Fourth Proportional to 2,975.92, 4,463.88 and 895.93

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Solution

The fourth proportional to 2,975.92, 4,463.88 and 895.93 is: 1,343.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,975.92 : 4,463.88 = 895.93 : x
  2. Step 2: Convert to fraction form
    2,975.92/4,463.88 = 895.93/x
  3. Step 3: Cross multiply
    2,975.92x = 4,463.88 × 895.93
  4. Step 4: Simplify right side
    2,975.92x = 3,999,324.01
  5. Step 5: Solve for x
    x = 3,999,324.01/2,975.92
  6. Step 6: Final answer
    x = 1,343.90

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1.5x scale

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.