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Finding the Fourth Proportional to 2,094.40, 2,883.70 and 1,779

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Solution

The fourth proportional to 2,094.40, 2,883.70 and 1,779 is: 2,449.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,094.40 : 2,883.70 = 1,779 : x
  2. Step 2: Convert to fraction form
    2,094.40/2,883.70 = 1,779/x
  3. Step 3: Cross multiply
    2,094.40x = 2,883.70 × 1,779
  4. Step 4: Simplify right side
    2,094.40x = 5,130,102.30
  5. Step 5: Solve for x
    x = 5,130,102.30/2,094.40
  6. Step 6: Final answer
    x = 2,449.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.