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Finding the Fourth Proportional to 1,672.94, 2,509.60 and 577.40

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Solution

The fourth proportional to 1,672.94, 2,509.60 and 577.40 is: 866.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,672.94 : 2,509.60 = 577.40 : x
  2. Step 2: Convert to fraction form
    1,672.94/2,509.60 = 577.40/x
  3. Step 3: Cross multiply
    1,672.94x = 2,509.60 × 577.40
  4. Step 4: Simplify right side
    1,672.94x = 1,449,043.04
  5. Step 5: Solve for x
    x = 1,449,043.04/1,672.94
  6. Step 6: Final answer
    x = 866.17

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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.