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Finding the Fourth Proportional to 2,128.98, 2,938.19 and 1,289.89

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Solution

The fourth proportional to 2,128.98, 2,938.19 and 1,289.89 is: 1,780.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,128.98 : 2,938.19 = 1,289.89 : x
  2. Step 2: Convert to fraction form
    2,128.98/2,938.19 = 1,289.89/x
  3. Step 3: Cross multiply
    2,128.98x = 2,938.19 × 1,289.89
  4. Step 4: Simplify right side
    2,128.98x = 3,789,941.90
  5. Step 5: Solve for x
    x = 3,789,941.90/2,128.98
  6. Step 6: Final answer
    x = 1,780.17

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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.