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Finding the Fourth Proportional to 1,533.94, 2,300.91 and 379.69

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Solution

The fourth proportional to 1,533.94, 2,300.91 and 379.69 is: 569.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,533.94 : 2,300.91 = 379.69 : x
  2. Step 2: Convert to fraction form
    1,533.94/2,300.91 = 379.69/x
  3. Step 3: Cross multiply
    1,533.94x = 2,300.91 × 379.69
  4. Step 4: Simplify right side
    1,533.94x = 873,625.34
  5. Step 5: Solve for x
    x = 873,625.34/1,533.94
  6. Step 6: Final answer
    x = 569.53

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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.