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Finding the Fourth Proportional to 2,158.63, 3,237.94 and 619.63

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Solution

The fourth proportional to 2,158.63, 3,237.94 and 619.63 is: 929.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,158.63 : 3,237.94 = 619.63 : x
  2. Step 2: Convert to fraction form
    2,158.63/3,237.94 = 619.63/x
  3. Step 3: Cross multiply
    2,158.63x = 3,237.94 × 619.63
  4. Step 4: Simplify right side
    2,158.63x = 2,006,324.76
  5. Step 5: Solve for x
    x = 2,006,324.76/2,158.63
  6. Step 6: Final answer
    x = 929.44

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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.