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Finding the Fourth Proportional to 1,782.89, 2,460.31 and 986.16

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Solution

The fourth proportional to 1,782.89, 2,460.31 and 986.16 is: 1,360.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,782.89 : 2,460.31 = 986.16 : x
  2. Step 2: Convert to fraction form
    1,782.89/2,460.31 = 986.16/x
  3. Step 3: Cross multiply
    1,782.89x = 2,460.31 × 986.16
  4. Step 4: Simplify right side
    1,782.89x = 2,426,257.78
  5. Step 5: Solve for x
    x = 2,426,257.78/1,782.89
  6. Step 6: Final answer
    x = 1,360.86

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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.