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Finding the Fourth Proportional to 2,077.02, 3,116.34 and 922.50

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Solution

The fourth proportional to 2,077.02, 3,116.34 and 922.50 is: 1,384.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,077.02 : 3,116.34 = 922.50 : x
  2. Step 2: Convert to fraction form
    2,077.02/3,116.34 = 922.50/x
  3. Step 3: Cross multiply
    2,077.02x = 3,116.34 × 922.50
  4. Step 4: Simplify right side
    2,077.02x = 2,874,823.65
  5. Step 5: Solve for x
    x = 2,874,823.65/2,077.02
  6. Step 6: Final answer
    x = 1,384.11

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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.