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Finding the Fourth Proportional to 2,457.93, 3,686.76 and 996.69

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Solution

The fourth proportional to 2,457.93, 3,686.76 and 996.69 is: 1,494.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,457.93 : 3,686.76 = 996.69 : x
  2. Step 2: Convert to fraction form
    2,457.93/3,686.76 = 996.69/x
  3. Step 3: Cross multiply
    2,457.93x = 3,686.76 × 996.69
  4. Step 4: Simplify right side
    2,457.93x = 3,674,556.82
  5. Step 5: Solve for x
    x = 3,674,556.82/2,457.93
  6. Step 6: Final answer
    x = 1,494.98

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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.