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Finding the Fourth Proportional to 2,975.06, 4,463.23 and 894.89

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Solution

The fourth proportional to 2,975.06, 4,463.23 and 894.89 is: 1,342.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,975.06 : 4,463.23 = 894.89 : x
  2. Step 2: Convert to fraction form
    2,975.06/4,463.23 = 894.89/x
  3. Step 3: Cross multiply
    2,975.06x = 4,463.23 × 894.89
  4. Step 4: Simplify right side
    2,975.06x = 3,994,108.82
  5. Step 5: Solve for x
    x = 3,994,108.82/2,975.06
  6. Step 6: Final answer
    x = 1,342.53

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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.