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Finding the Fourth Proportional to 1,909.69, 2,864.55 and 575.32

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Solution

The fourth proportional to 1,909.69, 2,864.55 and 575.32 is: 862.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,909.69 : 2,864.55 = 575.32 : x
  2. Step 2: Convert to fraction form
    1,909.69/2,864.55 = 575.32/x
  3. Step 3: Cross multiply
    1,909.69x = 2,864.55 × 575.32
  4. Step 4: Simplify right side
    1,909.69x = 1,648,032.91
  5. Step 5: Solve for x
    x = 1,648,032.91/1,909.69
  6. Step 6: Final answer
    x = 862.98

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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.