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Finding the Fourth Proportional to 2,047.58, 3,071.37 and 586.85

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Solution

The fourth proportional to 2,047.58, 3,071.37 and 586.85 is: 880.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047.58 : 3,071.37 = 586.85 : x
  2. Step 2: Convert to fraction form
    2,047.58/3,071.37 = 586.85/x
  3. Step 3: Cross multiply
    2,047.58x = 3,071.37 × 586.85
  4. Step 4: Simplify right side
    2,047.58x = 1,802,417.03
  5. Step 5: Solve for x
    x = 1,802,417.03/2,047.58
  6. Step 6: Final answer
    x = 880.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.