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Finding the Fourth Proportional to 2,457.51, 3,685.90 and 814.07

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Solution

The fourth proportional to 2,457.51, 3,685.90 and 814.07 is: 1,220.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,457.51 : 3,685.90 = 814.07 : x
  2. Step 2: Convert to fraction form
    2,457.51/3,685.90 = 814.07/x
  3. Step 3: Cross multiply
    2,457.51x = 3,685.90 × 814.07
  4. Step 4: Simplify right side
    2,457.51x = 3,000,580.61
  5. Step 5: Solve for x
    x = 3,000,580.61/2,457.51
  6. Step 6: Final answer
    x = 1,220.98

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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.