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Finding the Fourth Proportional to 2,158.04, 3,237.10 and 619

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Solution

The fourth proportional to 2,158.04, 3,237.10 and 619 is: 928.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,158.04 : 3,237.10 = 619 : x
  2. Step 2: Convert to fraction form
    2,158.04/3,237.10 = 619/x
  3. Step 3: Cross multiply
    2,158.04x = 3,237.10 × 619
  4. Step 4: Simplify right side
    2,158.04x = 2,003,764.90
  5. Step 5: Solve for x
    x = 2,003,764.90/2,158.04
  6. Step 6: Final answer
    x = 928.51

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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.