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Finding the Fourth Proportional to 1,520.19, 2,098.17 and 989.04

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Solution

The fourth proportional to 1,520.19, 2,098.17 and 989.04 is: 1,365.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,520.19 : 2,098.17 = 989.04 : x
  2. Step 2: Convert to fraction form
    1,520.19/2,098.17 = 989.04/x
  3. Step 3: Cross multiply
    1,520.19x = 2,098.17 × 989.04
  4. Step 4: Simplify right side
    1,520.19x = 2,075,174.06
  5. Step 5: Solve for x
    x = 2,075,174.06/1,520.19
  6. Step 6: Final answer
    x = 1,365.08

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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.