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Finding the Fourth Proportional to 1,846.30, 2,762.70 and 1,360.30

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Solution

The fourth proportional to 1,846.30, 2,762.70 and 1,360.30 is: 2,035.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,846.30 : 2,762.70 = 1,360.30 : x
  2. Step 2: Convert to fraction form
    1,846.30/2,762.70 = 1,360.30/x
  3. Step 3: Cross multiply
    1,846.30x = 2,762.70 × 1,360.30
  4. Step 4: Simplify right side
    1,846.30x = 3,758,100.81
  5. Step 5: Solve for x
    x = 3,758,100.81/1,846.30
  6. Step 6: Final answer
    x = 2,035.48

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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.