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Finding the Fourth Proportional to 1,762.81, 2,433.95 and 1,323.14

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Solution

The fourth proportional to 1,762.81, 2,433.95 and 1,323.14 is: 1,826.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,762.81 : 2,433.95 = 1,323.14 : x
  2. Step 2: Convert to fraction form
    1,762.81/2,433.95 = 1,323.14/x
  3. Step 3: Cross multiply
    1,762.81x = 2,433.95 × 1,323.14
  4. Step 4: Simplify right side
    1,762.81x = 3,220,442.78
  5. Step 5: Solve for x
    x = 3,220,442.78/1,762.81
  6. Step 6: Final answer
    x = 1,826.88

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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.