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Finding the Fourth Proportional to 1,439.19, 1,985.58 and 849.51

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Solution

The fourth proportional to 1,439.19, 1,985.58 and 849.51 is: 1,172.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,439.19 : 1,985.58 = 849.51 : x
  2. Step 2: Convert to fraction form
    1,439.19/1,985.58 = 849.51/x
  3. Step 3: Cross multiply
    1,439.19x = 1,985.58 × 849.51
  4. Step 4: Simplify right side
    1,439.19x = 1,686,770.07
  5. Step 5: Solve for x
    x = 1,686,770.07/1,439.19
  6. Step 6: Final answer
    x = 1,172.03

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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.