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Finding the Fourth Proportional to 1,908.90, 2,869.09 and 1,582.00

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Solution

The fourth proportional to 1,908.90, 2,869.09 and 1,582.00 is: 2,377.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,908.90 : 2,869.09 = 1,582.00 : x
  2. Step 2: Convert to fraction form
    1,908.90/2,869.09 = 1,582.00/x
  3. Step 3: Cross multiply
    1,908.90x = 2,869.09 × 1,582.00
  4. Step 4: Simplify right side
    1,908.90x = 4,538,889.25
  5. Step 5: Solve for x
    x = 4,538,889.25/1,908.90
  6. Step 6: Final answer
    x = 2,377.75

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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.