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Finding the Fourth Proportional to 1,672.87, 2,509.58 and 577.55

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Solution

The fourth proportional to 1,672.87, 2,509.58 and 577.55 is: 866.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,672.87 : 2,509.58 = 577.55 : x
  2. Step 2: Convert to fraction form
    1,672.87/2,509.58 = 577.55/x
  3. Step 3: Cross multiply
    1,672.87x = 2,509.58 × 577.55
  4. Step 4: Simplify right side
    1,672.87x = 1,449,392.49
  5. Step 5: Solve for x
    x = 1,449,392.49/1,672.87
  6. Step 6: Final answer
    x = 866.41

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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.