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Finding the Fourth Proportional to 1,925.41, 2,887.70 and 609.27

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Solution

The fourth proportional to 1,925.41, 2,887.70 and 609.27 is: 913.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,925.41 : 2,887.70 = 609.27 : x
  2. Step 2: Convert to fraction form
    1,925.41/2,887.70 = 609.27/x
  3. Step 3: Cross multiply
    1,925.41x = 2,887.70 × 609.27
  4. Step 4: Simplify right side
    1,925.41x = 1,759,388.98
  5. Step 5: Solve for x
    x = 1,759,388.98/1,925.41
  6. Step 6: Final answer
    x = 913.77

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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.