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Finding the Fourth Proportional to 2,158.08, 3,237.02 and 619.08

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Solution

The fourth proportional to 2,158.08, 3,237.02 and 619.08 is: 928.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,158.08 : 3,237.02 = 619.08 : x
  2. Step 2: Convert to fraction form
    2,158.08/3,237.02 = 619.08/x
  3. Step 3: Cross multiply
    2,158.08x = 3,237.02 × 619.08
  4. Step 4: Simplify right side
    2,158.08x = 2,003,974.34
  5. Step 5: Solve for x
    x = 2,003,974.34/2,158.08
  6. Step 6: Final answer
    x = 928.59

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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.