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Finding the Fourth Proportional to 2,267.04, 3,400.11 and 623.16

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Solution

The fourth proportional to 2,267.04, 3,400.11 and 623.16 is: 934.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,267.04 : 3,400.11 = 623.16 : x
  2. Step 2: Convert to fraction form
    2,267.04/3,400.11 = 623.16/x
  3. Step 3: Cross multiply
    2,267.04x = 3,400.11 × 623.16
  4. Step 4: Simplify right side
    2,267.04x = 2,118,812.55
  5. Step 5: Solve for x
    x = 2,118,812.55/2,267.04
  6. Step 6: Final answer
    x = 934.62

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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.