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Finding the Fourth Proportional to 2,555.36, 3,830.30 and 1,457.36

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Solution

The fourth proportional to 2,555.36, 3,830.30 and 1,457.36 is: 2,184.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,555.36 : 3,830.30 = 1,457.36 : x
  2. Step 2: Convert to fraction form
    2,555.36/3,830.30 = 1,457.36/x
  3. Step 3: Cross multiply
    2,555.36x = 3,830.30 × 1,457.36
  4. Step 4: Simplify right side
    2,555.36x = 5,582,126.01
  5. Step 5: Solve for x
    x = 5,582,126.01/2,555.36
  6. Step 6: Final answer
    x = 2,184.48

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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.