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Finding the Fourth Proportional to 1,338.42, 2,005.74 and 989.00

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Solution

The fourth proportional to 1,338.42, 2,005.74 and 989.00 is: 1,482.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,338.42 : 2,005.74 = 989.00 : x
  2. Step 2: Convert to fraction form
    1,338.42/2,005.74 = 989.00/x
  3. Step 3: Cross multiply
    1,338.42x = 2,005.74 × 989.00
  4. Step 4: Simplify right side
    1,338.42x = 1,983,666.83
  5. Step 5: Solve for x
    x = 1,983,666.83/1,338.42
  6. Step 6: Final answer
    x = 1,482.10

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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.