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Finding the Fourth Proportional to 1,909.34, 2,864.31 and 610.50

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Solution

The fourth proportional to 1,909.34, 2,864.31 and 610.50 is: 915.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,909.34 : 2,864.31 = 610.50 : x
  2. Step 2: Convert to fraction form
    1,909.34/2,864.31 = 610.50/x
  3. Step 3: Cross multiply
    1,909.34x = 2,864.31 × 610.50
  4. Step 4: Simplify right side
    1,909.34x = 1,748,661.26
  5. Step 5: Solve for x
    x = 1,748,661.26/1,909.34
  6. Step 6: Final answer
    x = 915.85

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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.