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Finding the Fourth Proportional to 2,975.48, 4,463.46 and 895.34

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Solution

The fourth proportional to 2,975.48, 4,463.46 and 895.34 is: 1,343.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,975.48 : 4,463.46 = 895.34 : x
  2. Step 2: Convert to fraction form
    2,975.48/4,463.46 = 895.34/x
  3. Step 3: Cross multiply
    2,975.48x = 4,463.46 × 895.34
  4. Step 4: Simplify right side
    2,975.48x = 3,996,314.28
  5. Step 5: Solve for x
    x = 3,996,314.28/2,975.48
  6. Step 6: Final answer
    x = 1,343.08

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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.