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Finding the Fourth Proportional to 2,047.65, 3,071.59 and 586.92

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Solution

The fourth proportional to 2,047.65, 3,071.59 and 586.92 is: 880.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047.65 : 3,071.59 = 586.92 : x
  2. Step 2: Convert to fraction form
    2,047.65/3,071.59 = 586.92/x
  3. Step 3: Cross multiply
    2,047.65x = 3,071.59 × 586.92
  4. Step 4: Simplify right side
    2,047.65x = 1,802,759.31
  5. Step 5: Solve for x
    x = 1,802,759.31/2,047.65
  6. Step 6: Final answer
    x = 880.40

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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.