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Finding the Fourth Proportional to 2,047.59, 3,071.37 and 586.74

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Solution

The fourth proportional to 2,047.59, 3,071.37 and 586.74 is: 880.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047.59 : 3,071.37 = 586.74 : x
  2. Step 2: Convert to fraction form
    2,047.59/3,071.37 = 586.74/x
  3. Step 3: Cross multiply
    2,047.59x = 3,071.37 × 586.74
  4. Step 4: Simplify right side
    2,047.59x = 1,802,106.05
  5. Step 5: Solve for x
    x = 1,802,106.05/2,047.59
  6. Step 6: Final answer
    x = 880.11

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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.