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Finding the Fourth Proportional to 1,504.57, 2,076.22 and 875.05

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Solution

The fourth proportional to 1,504.57, 2,076.22 and 875.05 is: 1,207.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,504.57 : 2,076.22 = 875.05 : x
  2. Step 2: Convert to fraction form
    1,504.57/2,076.22 = 875.05/x
  3. Step 3: Cross multiply
    1,504.57x = 2,076.22 × 875.05
  4. Step 4: Simplify right side
    1,504.57x = 1,816,796.31
  5. Step 5: Solve for x
    x = 1,816,796.31/1,504.57
  6. Step 6: Final answer
    x = 1,207.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.