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Finding the Fourth Proportional to 1,550.53, 2,323.74 and 1,137.74

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Solution

The fourth proportional to 1,550.53, 2,323.74 and 1,137.74 is: 1,705.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,550.53 : 2,323.74 = 1,137.74 : x
  2. Step 2: Convert to fraction form
    1,550.53/2,323.74 = 1,137.74/x
  3. Step 3: Cross multiply
    1,550.53x = 2,323.74 × 1,137.74
  4. Step 4: Simplify right side
    1,550.53x = 2,643,804.60
  5. Step 5: Solve for x
    x = 2,643,804.60/1,550.53
  6. Step 6: Final answer
    x = 1,705.10

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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.