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Finding the Fourth Proportional to 2,047.57, 3,071.35 and 586.73

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Solution

The fourth proportional to 2,047.57, 3,071.35 and 586.73 is: 880.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047.57 : 3,071.35 = 586.73 : x
  2. Step 2: Convert to fraction form
    2,047.57/3,071.35 = 586.73/x
  3. Step 3: Cross multiply
    2,047.57x = 3,071.35 × 586.73
  4. Step 4: Simplify right side
    2,047.57x = 1,802,053.19
  5. Step 5: Solve for x
    x = 1,802,053.19/2,047.57
  6. Step 6: Final answer
    x = 880.09

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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.