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Finding the Fourth Proportional to 1,424.90, 2,137.57 and 603.18

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Solution

The fourth proportional to 1,424.90, 2,137.57 and 603.18 is: 904.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,424.90 : 2,137.57 = 603.18 : x
  2. Step 2: Convert to fraction form
    1,424.90/2,137.57 = 603.18/x
  3. Step 3: Cross multiply
    1,424.90x = 2,137.57 × 603.18
  4. Step 4: Simplify right side
    1,424.90x = 1,289,339.47
  5. Step 5: Solve for x
    x = 1,289,339.47/1,424.90
  6. Step 6: Final answer
    x = 904.86

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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.