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Finding the Fourth Proportional to 2,457.66, 3,680.66 and 1,871.94

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Solution

The fourth proportional to 2,457.66, 3,680.66 and 1,871.94 is: 2,803.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,457.66 : 3,680.66 = 1,871.94 : x
  2. Step 2: Convert to fraction form
    2,457.66/3,680.66 = 1,871.94/x
  3. Step 3: Cross multiply
    2,457.66x = 3,680.66 × 1,871.94
  4. Step 4: Simplify right side
    2,457.66x = 6,889,974.68
  5. Step 5: Solve for x
    x = 6,889,974.68/2,457.66
  6. Step 6: Final answer
    x = 2,803.47

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Why These Related Problems?

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