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Finding the Fourth Proportional to 1,664.86, 2,297.03 and 1,075.73

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Solution

The fourth proportional to 1,664.86, 2,297.03 and 1,075.73 is: 1,484.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,664.86 : 2,297.03 = 1,075.73 : x
  2. Step 2: Convert to fraction form
    1,664.86/2,297.03 = 1,075.73/x
  3. Step 3: Cross multiply
    1,664.86x = 2,297.03 × 1,075.73
  4. Step 4: Simplify right side
    1,664.86x = 2,470,984.08
  5. Step 5: Solve for x
    x = 2,470,984.08/1,664.86
  6. Step 6: Final answer
    x = 1,484.20

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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.