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Finding the Fourth Proportional to 1,582.91, 2,184.30 and 874.75

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Solution

The fourth proportional to 1,582.91, 2,184.30 and 874.75 is: 1,207.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582.91 : 2,184.30 = 874.75 : x
  2. Step 2: Convert to fraction form
    1,582.91/2,184.30 = 874.75/x
  3. Step 3: Cross multiply
    1,582.91x = 2,184.30 × 874.75
  4. Step 4: Simplify right side
    1,582.91x = 1,910,713.15
  5. Step 5: Solve for x
    x = 1,910,713.15/1,582.91
  6. Step 6: Final answer
    x = 1,207.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.