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Finding the Fourth Proportional to 2,094.44, 2,890.50 and 1,397

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Solution

The fourth proportional to 2,094.44, 2,890.50 and 1,397 is: 1,927.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,094.44 : 2,890.50 = 1,397 : x
  2. Step 2: Convert to fraction form
    2,094.44/2,890.50 = 1,397/x
  3. Step 3: Cross multiply
    2,094.44x = 2,890.50 × 1,397
  4. Step 4: Simplify right side
    2,094.44x = 4,038,028.50
  5. Step 5: Solve for x
    x = 4,038,028.50/2,094.44
  6. Step 6: Final answer
    x = 1,927.98

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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.