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Finding the Fourth Proportional to 2,096.79, 2,890.53 and 1,653.90

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Solution

The fourth proportional to 2,096.79, 2,890.53 and 1,653.90 is: 2,279.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096.79 : 2,890.53 = 1,653.90 : x
  2. Step 2: Convert to fraction form
    2,096.79/2,890.53 = 1,653.90/x
  3. Step 3: Cross multiply
    2,096.79x = 2,890.53 × 1,653.90
  4. Step 4: Simplify right side
    2,096.79x = 4,780,647.57
  5. Step 5: Solve for x
    x = 4,780,647.57/2,096.79
  6. Step 6: Final answer
    x = 2,279.98

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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.