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Finding the Fourth Proportional to 2,538.18, 3,807.25 and 894.53

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Solution

The fourth proportional to 2,538.18, 3,807.25 and 894.53 is: 1,341.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,538.18 : 3,807.25 = 894.53 : x
  2. Step 2: Convert to fraction form
    2,538.18/3,807.25 = 894.53/x
  3. Step 3: Cross multiply
    2,538.18x = 3,807.25 × 894.53
  4. Step 4: Simplify right side
    2,538.18x = 3,405,699.34
  5. Step 5: Solve for x
    x = 3,405,699.34/2,538.18
  6. Step 6: Final answer
    x = 1,341.79

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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.