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Finding the Fourth Proportional to 2,336.70, 3,503.84 and 1,457.04

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Solution

The fourth proportional to 2,336.70, 3,503.84 and 1,457.04 is: 2,184.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,336.70 : 3,503.84 = 1,457.04 : x
  2. Step 2: Convert to fraction form
    2,336.70/3,503.84 = 1,457.04/x
  3. Step 3: Cross multiply
    2,336.70x = 3,503.84 × 1,457.04
  4. Step 4: Simplify right side
    2,336.70x = 5,105,227.75
  5. Step 5: Solve for x
    x = 5,105,227.75/2,336.70
  6. Step 6: Final answer
    x = 2,184.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.