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Finding the Fourth Proportional to 1,765.47, 2,436.31 and 1,019.37

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Solution

The fourth proportional to 1,765.47, 2,436.31 and 1,019.37 is: 1,406.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,765.47 : 2,436.31 = 1,019.37 : x
  2. Step 2: Convert to fraction form
    1,765.47/2,436.31 = 1,019.37/x
  3. Step 3: Cross multiply
    1,765.47x = 2,436.31 × 1,019.37
  4. Step 4: Simplify right side
    1,765.47x = 2,483,501.32
  5. Step 5: Solve for x
    x = 2,483,501.32/1,765.47
  6. Step 6: Final answer
    x = 1,406.71

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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.