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Finding the Fourth Proportional to 2,312.00, 3,466.94 and 924.17

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Solution

The fourth proportional to 2,312.00, 3,466.94 and 924.17 is: 1,385.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,312.00 : 3,466.94 = 924.17 : x
  2. Step 2: Convert to fraction form
    2,312.00/3,466.94 = 924.17/x
  3. Step 3: Cross multiply
    2,312.00x = 3,466.94 × 924.17
  4. Step 4: Simplify right side
    2,312.00x = 3,204,028.65
  5. Step 5: Solve for x
    x = 3,204,028.65/2,312.00
  6. Step 6: Final answer
    x = 1,385.82

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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.