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Finding the Fourth Proportional to 1,424.12, 2,137.05 and 603.05

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Solution

The fourth proportional to 1,424.12, 2,137.05 and 603.05 is: 904.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,424.12 : 2,137.05 = 603.05 : x
  2. Step 2: Convert to fraction form
    1,424.12/2,137.05 = 603.05/x
  3. Step 3: Cross multiply
    1,424.12x = 2,137.05 × 603.05
  4. Step 4: Simplify right side
    1,424.12x = 1,288,737.32
  5. Step 5: Solve for x
    x = 1,288,737.32/1,424.12
  6. Step 6: Final answer
    x = 904.94

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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.