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Finding the Fourth Proportional to 2,457.56, 3,682.82 and 1,830.02

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Solution

The fourth proportional to 2,457.56, 3,682.82 and 1,830.02 is: 2,742.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,457.56 : 3,682.82 = 1,830.02 : x
  2. Step 2: Convert to fraction form
    2,457.56/3,682.82 = 1,830.02/x
  3. Step 3: Cross multiply
    2,457.56x = 3,682.82 × 1,830.02
  4. Step 4: Simplify right side
    2,457.56x = 6,739,606.69
  5. Step 5: Solve for x
    x = 6,739,606.69/2,457.56
  6. Step 6: Final answer
    x = 2,742.40

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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.