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Finding the Fourth Proportional to 2,057.48, 3,084.98 and 790.46

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Solution

The fourth proportional to 2,057.48, 3,084.98 and 790.46 is: 1,185.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,057.48 : 3,084.98 = 790.46 : x
  2. Step 2: Convert to fraction form
    2,057.48/3,084.98 = 790.46/x
  3. Step 3: Cross multiply
    2,057.48x = 3,084.98 × 790.46
  4. Step 4: Simplify right side
    2,057.48x = 2,438,533.91
  5. Step 5: Solve for x
    x = 2,438,533.91/2,057.48
  6. Step 6: Final answer
    x = 1,185.21

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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.