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Finding the Fourth Proportional to 2,158.52, 3,237.80 and 619.52

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Solution

The fourth proportional to 2,158.52, 3,237.80 and 619.52 is: 929.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,158.52 : 3,237.80 = 619.52 : x
  2. Step 2: Convert to fraction form
    2,158.52/3,237.80 = 619.52/x
  3. Step 3: Cross multiply
    2,158.52x = 3,237.80 × 619.52
  4. Step 4: Simplify right side
    2,158.52x = 2,005,881.86
  5. Step 5: Solve for x
    x = 2,005,881.86/2,158.52
  6. Step 6: Final answer
    x = 929.29

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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.