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Finding the Fourth Proportional to 1,765.37, 2,436.42 and 1,019.53

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Solution

The fourth proportional to 1,765.37, 2,436.42 and 1,019.53 is: 1,407.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,765.37 : 2,436.42 = 1,019.53 : x
  2. Step 2: Convert to fraction form
    1,765.37/2,436.42 = 1,019.53/x
  3. Step 3: Cross multiply
    1,765.37x = 2,436.42 × 1,019.53
  4. Step 4: Simplify right side
    1,765.37x = 2,484,003.28
  5. Step 5: Solve for x
    x = 2,484,003.28/1,765.37
  6. Step 6: Final answer
    x = 1,407.07

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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.