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Finding the Fourth Proportional to 2,554.81, 3,832.46 and 705.93

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Solution

The fourth proportional to 2,554.81, 3,832.46 and 705.93 is: 1,058.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,554.81 : 3,832.46 = 705.93 : x
  2. Step 2: Convert to fraction form
    2,554.81/3,832.46 = 705.93/x
  3. Step 3: Cross multiply
    2,554.81x = 3,832.46 × 705.93
  4. Step 4: Simplify right side
    2,554.81x = 2,705,458.76
  5. Step 5: Solve for x
    x = 2,705,458.76/2,554.81
  6. Step 6: Final answer
    x = 1,058.97

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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.