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Finding the Fourth Proportional to 2,890.65, 4,336.38 and 2,347.50

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Solution

The fourth proportional to 2,890.65, 4,336.38 and 2,347.50 is: 3,521.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,890.65 : 4,336.38 = 2,347.50 : x
  2. Step 2: Convert to fraction form
    2,890.65/4,336.38 = 2,347.50/x
  3. Step 3: Cross multiply
    2,890.65x = 4,336.38 × 2,347.50
  4. Step 4: Simplify right side
    2,890.65x = 10,179,652.05
  5. Step 5: Solve for x
    x = 10,179,652.05/2,890.65
  6. Step 6: Final answer
    x = 3,521.58

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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.