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Finding the Fourth Proportional to 3,005.25, 4,507.19 and 924.11

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Solution

The fourth proportional to 3,005.25, 4,507.19 and 924.11 is: 1,385.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,005.25 : 4,507.19 = 924.11 : x
  2. Step 2: Convert to fraction form
    3,005.25/4,507.19 = 924.11/x
  3. Step 3: Cross multiply
    3,005.25x = 4,507.19 × 924.11
  4. Step 4: Simplify right side
    3,005.25x = 4,165,137.76
  5. Step 5: Solve for x
    x = 4,165,137.76/3,005.25
  6. Step 6: Final answer
    x = 1,385.95

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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.