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Finding the Fourth Proportional to 1,767.18, 2,647.59 and 986.25

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Solution

The fourth proportional to 1,767.18, 2,647.59 and 986.25 is: 1,477.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,767.18 : 2,647.59 = 986.25 : x
  2. Step 2: Convert to fraction form
    1,767.18/2,647.59 = 986.25/x
  3. Step 3: Cross multiply
    1,767.18x = 2,647.59 × 986.25
  4. Step 4: Simplify right side
    1,767.18x = 2,611,185.64
  5. Step 5: Solve for x
    x = 2,611,185.64/1,767.18
  6. Step 6: Final answer
    x = 1,477.60

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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.