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Finding the Fourth Proportional to 1,399.80, 2,094.30 and 913.80

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Solution

The fourth proportional to 1,399.80, 2,094.30 and 913.80 is: 1,367.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,399.80 : 2,094.30 = 913.80 : x
  2. Step 2: Convert to fraction form
    1,399.80/2,094.30 = 913.80/x
  3. Step 3: Cross multiply
    1,399.80x = 2,094.30 × 913.80
  4. Step 4: Simplify right side
    1,399.80x = 1,913,771.34
  5. Step 5: Solve for x
    x = 1,913,771.34/1,399.80
  6. Step 6: Final answer
    x = 1,367.17

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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.