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Finding the Fourth Proportional to 1,762.23, 2,641.43 and 1,146.37

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Solution

The fourth proportional to 1,762.23, 2,641.43 and 1,146.37 is: 1,718.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,762.23 : 2,641.43 = 1,146.37 : x
  2. Step 2: Convert to fraction form
    1,762.23/2,641.43 = 1,146.37/x
  3. Step 3: Cross multiply
    1,762.23x = 2,641.43 × 1,146.37
  4. Step 4: Simplify right side
    1,762.23x = 3,028,056.11
  5. Step 5: Solve for x
    x = 3,028,056.11/1,762.23
  6. Step 6: Final answer
    x = 1,718.31

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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.