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Finding the Fourth Proportional to 1,892.25, 2,837.15 and 904.53

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Solution

The fourth proportional to 1,892.25, 2,837.15 and 904.53 is: 1,356.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,892.25 : 2,837.15 = 904.53 : x
  2. Step 2: Convert to fraction form
    1,892.25/2,837.15 = 904.53/x
  3. Step 3: Cross multiply
    1,892.25x = 2,837.15 × 904.53
  4. Step 4: Simplify right side
    1,892.25x = 2,566,282.77
  5. Step 5: Solve for x
    x = 2,566,282.77/1,892.25
  6. Step 6: Final answer
    x = 1,356.21

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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.