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Finding the Fourth Proportional to 2,468.85, 3,703.19 and 619.98

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Solution

The fourth proportional to 2,468.85, 3,703.19 and 619.98 is: 929.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,468.85 : 3,703.19 = 619.98 : x
  2. Step 2: Convert to fraction form
    2,468.85/3,703.19 = 619.98/x
  3. Step 3: Cross multiply
    2,468.85x = 3,703.19 × 619.98
  4. Step 4: Simplify right side
    2,468.85x = 2,295,900.64
  5. Step 5: Solve for x
    x = 2,295,900.64/2,468.85
  6. Step 6: Final answer
    x = 929.95

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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.