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Finding the Fourth Proportional to 1,917.81, 2,876.72 and 619.38

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Solution

The fourth proportional to 1,917.81, 2,876.72 and 619.38 is: 929.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,917.81 : 2,876.72 = 619.38 : x
  2. Step 2: Convert to fraction form
    1,917.81/2,876.72 = 619.38/x
  3. Step 3: Cross multiply
    1,917.81x = 2,876.72 × 619.38
  4. Step 4: Simplify right side
    1,917.81x = 1,781,779.74
  5. Step 5: Solve for x
    x = 1,781,779.74/1,917.81
  6. Step 6: Final answer
    x = 929.07

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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.