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Finding the Fourth Proportional to 2,099.16, 2,900.49 and 1,725.86

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Solution

The fourth proportional to 2,099.16, 2,900.49 and 1,725.86 is: 2,384.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,099.16 : 2,900.49 = 1,725.86 : x
  2. Step 2: Convert to fraction form
    2,099.16/2,900.49 = 1,725.86/x
  3. Step 3: Cross multiply
    2,099.16x = 2,900.49 × 1,725.86
  4. Step 4: Simplify right side
    2,099.16x = 5,005,825.17
  5. Step 5: Solve for x
    x = 5,005,825.17/2,099.16
  6. Step 6: Final answer
    x = 2,384.68

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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.