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Finding the Fourth Proportional to 1,905.30, 2,859.12 and 931.50

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Solution

The fourth proportional to 1,905.30, 2,859.12 and 931.50 is: 1,397.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,905.30 : 2,859.12 = 931.50 : x
  2. Step 2: Convert to fraction form
    1,905.30/2,859.12 = 931.50/x
  3. Step 3: Cross multiply
    1,905.30x = 2,859.12 × 931.50
  4. Step 4: Simplify right side
    1,905.30x = 2,663,270.28
  5. Step 5: Solve for x
    x = 2,663,270.28/1,905.30
  6. Step 6: Final answer
    x = 1,397.82

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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.