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Finding the Fourth Proportional to 1,427.90, 2,139.45 and 940.70

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Solution

The fourth proportional to 1,427.90, 2,139.45 and 940.70 is: 1,409.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427.90 : 2,139.45 = 940.70 : x
  2. Step 2: Convert to fraction form
    1,427.90/2,139.45 = 940.70/x
  3. Step 3: Cross multiply
    1,427.90x = 2,139.45 × 940.70
  4. Step 4: Simplify right side
    1,427.90x = 2,012,580.62
  5. Step 5: Solve for x
    x = 2,012,580.62/1,427.90
  6. Step 6: Final answer
    x = 1,409.47

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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.