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Finding the Fourth Proportional to 1,664.99, 2,297.90 and 1,384.74

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Solution

The fourth proportional to 1,664.99, 2,297.90 and 1,384.74 is: 1,911.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,664.99 : 2,297.90 = 1,384.74 : x
  2. Step 2: Convert to fraction form
    1,664.99/2,297.90 = 1,384.74/x
  3. Step 3: Cross multiply
    1,664.99x = 2,297.90 × 1,384.74
  4. Step 4: Simplify right side
    1,664.99x = 3,181,994.05
  5. Step 5: Solve for x
    x = 3,181,994.05/1,664.99
  6. Step 6: Final answer
    x = 1,911.12

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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.