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Finding the Fourth Proportional to 2,457.72, 3,705.12 and 2,299.19

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Solution

The fourth proportional to 2,457.72, 3,705.12 and 2,299.19 is: 3,466.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,457.72 : 3,705.12 = 2,299.19 : x
  2. Step 2: Convert to fraction form
    2,457.72/3,705.12 = 2,299.19/x
  3. Step 3: Cross multiply
    2,457.72x = 3,705.12 × 2,299.19
  4. Step 4: Simplify right side
    2,457.72x = 8,518,756.33
  5. Step 5: Solve for x
    x = 8,518,756.33/2,457.72
  6. Step 6: Final answer
    x = 3,466.12

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.