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Finding the Fourth Proportional to 2,890.91, 4,307.49 and 2,706.23

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Solution

The fourth proportional to 2,890.91, 4,307.49 and 2,706.23 is: 4,032.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,890.91 : 4,307.49 = 2,706.23 : x
  2. Step 2: Convert to fraction form
    2,890.91/4,307.49 = 2,706.23/x
  3. Step 3: Cross multiply
    2,890.91x = 4,307.49 × 2,706.23
  4. Step 4: Simplify right side
    2,890.91x = 11,657,069.43
  5. Step 5: Solve for x
    x = 11,657,069.43/2,890.91
  6. Step 6: Final answer
    x = 4,032.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.