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Finding the Fourth Proportional to 2,457.92, 3,684.71 and 1,762.83

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Solution

The fourth proportional to 2,457.92, 3,684.71 and 1,762.83 is: 2,642.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,457.92 : 3,684.71 = 1,762.83 : x
  2. Step 2: Convert to fraction form
    2,457.92/3,684.71 = 1,762.83/x
  3. Step 3: Cross multiply
    2,457.92x = 3,684.71 × 1,762.83
  4. Step 4: Simplify right side
    2,457.92x = 6,495,508.52
  5. Step 5: Solve for x
    x = 6,495,508.52/2,457.92
  6. Step 6: Final answer
    x = 2,642.69

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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.