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Finding the Fourth Proportional to 2,975.49, 4,463.05 and 895.45

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Solution

The fourth proportional to 2,975.49, 4,463.05 and 895.45 is: 1,343.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,975.49 : 4,463.05 = 895.45 : x
  2. Step 2: Convert to fraction form
    2,975.49/4,463.05 = 895.45/x
  3. Step 3: Cross multiply
    2,975.49x = 4,463.05 × 895.45
  4. Step 4: Simplify right side
    2,975.49x = 3,996,438.12
  5. Step 5: Solve for x
    x = 3,996,438.12/2,975.49
  6. Step 6: Final answer
    x = 1,343.12

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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.