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Finding the Fourth Proportional to 2,180.94, 3,008.70 and 1,648.86

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Solution

The fourth proportional to 2,180.94, 3,008.70 and 1,648.86 is: 2,274.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,180.94 : 3,008.70 = 1,648.86 : x
  2. Step 2: Convert to fraction form
    2,180.94/3,008.70 = 1,648.86/x
  3. Step 3: Cross multiply
    2,180.94x = 3,008.70 × 1,648.86
  4. Step 4: Simplify right side
    2,180.94x = 4,960,925.08
  5. Step 5: Solve for x
    x = 4,960,925.08/2,180.94
  6. Step 6: Final answer
    x = 2,274.67

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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.