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Finding the Fourth Proportional to 2,047.60, 3,071.92 and 586.84

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Solution

The fourth proportional to 2,047.60, 3,071.92 and 586.84 is: 880.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047.60 : 3,071.92 = 586.84 : x
  2. Step 2: Convert to fraction form
    2,047.60/3,071.92 = 586.84/x
  3. Step 3: Cross multiply
    2,047.60x = 3,071.92 × 586.84
  4. Step 4: Simplify right side
    2,047.60x = 1,802,725.53
  5. Step 5: Solve for x
    x = 1,802,725.53/2,047.60
  6. Step 6: Final answer
    x = 880.41

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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.