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Finding the Fourth Proportional to 2,457.34, 3,680.14 and 1,415.15

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Solution

The fourth proportional to 2,457.34, 3,680.14 and 1,415.15 is: 2,119.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,457.34 : 3,680.14 = 1,415.15 : x
  2. Step 2: Convert to fraction form
    2,457.34/3,680.14 = 1,415.15/x
  3. Step 3: Cross multiply
    2,457.34x = 3,680.14 × 1,415.15
  4. Step 4: Simplify right side
    2,457.34x = 5,207,958.57
  5. Step 5: Solve for x
    x = 5,207,958.57/2,457.34
  6. Step 6: Final answer
    x = 2,119.35

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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.