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Finding the Fourth Proportional to 2,046.70, 3,070.91 and 1,389.32

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Solution

The fourth proportional to 2,046.70, 3,070.91 and 1,389.32 is: 2,084.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,046.70 : 3,070.91 = 1,389.32 : x
  2. Step 2: Convert to fraction form
    2,046.70/3,070.91 = 1,389.32/x
  3. Step 3: Cross multiply
    2,046.70x = 3,070.91 × 1,389.32
  4. Step 4: Simplify right side
    2,046.70x = 4,266,476.32
  5. Step 5: Solve for x
    x = 4,266,476.32/2,046.70
  6. Step 6: Final answer
    x = 2,084.56

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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.