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Finding the Fourth Proportional to 2,457.84, 3,687.36 and 1,225.84

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Solution

The fourth proportional to 2,457.84, 3,687.36 and 1,225.84 is: 1,839.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,457.84 : 3,687.36 = 1,225.84 : x
  2. Step 2: Convert to fraction form
    2,457.84/3,687.36 = 1,225.84/x
  3. Step 3: Cross multiply
    2,457.84x = 3,687.36 × 1,225.84
  4. Step 4: Simplify right side
    2,457.84x = 4,520,113.38
  5. Step 5: Solve for x
    x = 4,520,113.38/2,457.84
  6. Step 6: Final answer
    x = 1,839.06

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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.