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Finding the Fourth Proportional to 4,826.17, 7,234.35 and 1,900.45

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Solution

The fourth proportional to 4,826.17, 7,234.35 and 1,900.45 is: 2,848.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,826.17 : 7,234.35 = 1,900.45 : x
  2. Step 2: Convert to fraction form
    4,826.17/7,234.35 = 1,900.45/x
  3. Step 3: Cross multiply
    4,826.17x = 7,234.35 × 1,900.45
  4. Step 4: Simplify right side
    4,826.17x = 13,748,520.46
  5. Step 5: Solve for x
    x = 13,748,520.46/4,826.17
  6. Step 6: Final answer
    x = 2,848.74

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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.