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Finding the Fourth Proportional to 2,504.88, 3,756.75 and 945.05

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Solution

The fourth proportional to 2,504.88, 3,756.75 and 945.05 is: 1,417.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,504.88 : 3,756.75 = 945.05 : x
  2. Step 2: Convert to fraction form
    2,504.88/3,756.75 = 945.05/x
  3. Step 3: Cross multiply
    2,504.88x = 3,756.75 × 945.05
  4. Step 4: Simplify right side
    2,504.88x = 3,550,323.37
  5. Step 5: Solve for x
    x = 3,550,323.37/2,504.88
  6. Step 6: Final answer
    x = 1,417.36

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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.