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Finding the Fourth Proportional to 1,439.15, 1,985.49 and 942.06

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Solution

The fourth proportional to 1,439.15, 1,985.49 and 942.06 is: 1,299.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,439.15 : 1,985.49 = 942.06 : x
  2. Step 2: Convert to fraction form
    1,439.15/1,985.49 = 942.06/x
  3. Step 3: Cross multiply
    1,439.15x = 1,985.49 × 942.06
  4. Step 4: Simplify right side
    1,439.15x = 1,870,450.71
  5. Step 5: Solve for x
    x = 1,870,450.71/1,439.15
  6. Step 6: Final answer
    x = 1,299.70

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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.