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Finding the Fourth Proportional to 1,789.16, 2,683.86 and 619.28

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Solution

The fourth proportional to 1,789.16, 2,683.86 and 619.28 is: 928.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,789.16 : 2,683.86 = 619.28 : x
  2. Step 2: Convert to fraction form
    1,789.16/2,683.86 = 619.28/x
  3. Step 3: Cross multiply
    1,789.16x = 2,683.86 × 619.28
  4. Step 4: Simplify right side
    1,789.16x = 1,662,044.31
  5. Step 5: Solve for x
    x = 1,662,044.31/1,789.16
  6. Step 6: Final answer
    x = 928.95

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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.