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Finding the Fourth Proportional to 2,834.76, 4,253.58 and 1,466.76

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Solution

The fourth proportional to 2,834.76, 4,253.58 and 1,466.76 is: 2,200.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,834.76 : 4,253.58 = 1,466.76 : x
  2. Step 2: Convert to fraction form
    2,834.76/4,253.58 = 1,466.76/x
  3. Step 3: Cross multiply
    2,834.76x = 4,253.58 × 1,466.76
  4. Step 4: Simplify right side
    2,834.76x = 6,238,981.00
  5. Step 5: Solve for x
    x = 6,238,981.00/2,834.76
  6. Step 6: Final answer
    x = 2,200.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.