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Finding the Fourth Proportional to 2,457.18, 3,684.46 and 976.34

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Solution

The fourth proportional to 2,457.18, 3,684.46 and 976.34 is: 1,463.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,457.18 : 3,684.46 = 976.34 : x
  2. Step 2: Convert to fraction form
    2,457.18/3,684.46 = 976.34/x
  3. Step 3: Cross multiply
    2,457.18x = 3,684.46 × 976.34
  4. Step 4: Simplify right side
    2,457.18x = 3,597,300.41
  5. Step 5: Solve for x
    x = 3,597,300.41/2,457.18
  6. Step 6: Final answer
    x = 1,463.99

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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.