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Finding the Fourth Proportional to 2,263.07, 3,394.61 and 619.64

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Solution

The fourth proportional to 2,263.07, 3,394.61 and 619.64 is: 929.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,263.07 : 3,394.61 = 619.64 : x
  2. Step 2: Convert to fraction form
    2,263.07/3,394.61 = 619.64/x
  3. Step 3: Cross multiply
    2,263.07x = 3,394.61 × 619.64
  4. Step 4: Simplify right side
    2,263.07x = 2,103,420.72
  5. Step 5: Solve for x
    x = 2,103,420.72/2,263.07
  6. Step 6: Final answer
    x = 929.45

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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.