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Finding the Fourth Proportional to 2,576.80, 3,555.93 and 1,457.70

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Solution

The fourth proportional to 2,576.80, 3,555.93 and 1,457.70 is: 2,011.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,576.80 : 3,555.93 = 1,457.70 : x
  2. Step 2: Convert to fraction form
    2,576.80/3,555.93 = 1,457.70/x
  3. Step 3: Cross multiply
    2,576.80x = 3,555.93 × 1,457.70
  4. Step 4: Simplify right side
    2,576.80x = 5,183,479.16
  5. Step 5: Solve for x
    x = 5,183,479.16/2,576.80
  6. Step 6: Final answer
    x = 2,011.60

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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.