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Finding the Fourth Proportional to 2,457.23, 3,686.30 and 814.93

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Solution

The fourth proportional to 2,457.23, 3,686.30 and 814.93 is: 1,222.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,457.23 : 3,686.30 = 814.93 : x
  2. Step 2: Convert to fraction form
    2,457.23/3,686.30 = 814.93/x
  3. Step 3: Cross multiply
    2,457.23x = 3,686.30 × 814.93
  4. Step 4: Simplify right side
    2,457.23x = 3,004,076.46
  5. Step 5: Solve for x
    x = 3,004,076.46/2,457.23
  6. Step 6: Final answer
    x = 1,222.55

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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.