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Finding the Fourth Proportional to 2,337.76, 3,225.70 and 1,406.28

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Solution

The fourth proportional to 2,337.76, 3,225.70 and 1,406.28 is: 1,940.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,337.76 : 3,225.70 = 1,406.28 : x
  2. Step 2: Convert to fraction form
    2,337.76/3,225.70 = 1,406.28/x
  3. Step 3: Cross multiply
    2,337.76x = 3,225.70 × 1,406.28
  4. Step 4: Simplify right side
    2,337.76x = 4,536,237.40
  5. Step 5: Solve for x
    x = 4,536,237.40/2,337.76
  6. Step 6: Final answer
    x = 1,940.42

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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.