Home / 2,457.14-3,680.64-2,071.17

Finding the Fourth Proportional to 2,457.14, 3,680.64 and 2,071.17

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Solution

The fourth proportional to 2,457.14, 3,680.64 and 2,071.17 is: 3,102.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,457.14 : 3,680.64 = 2,071.17 : x
  2. Step 2: Convert to fraction form
    2,457.14/3,680.64 = 2,071.17/x
  3. Step 3: Cross multiply
    2,457.14x = 3,680.64 × 2,071.17
  4. Step 4: Simplify right side
    2,457.14x = 7,623,231.15
  5. Step 5: Solve for x
    x = 7,623,231.15/2,457.14
  6. Step 6: Final answer
    x = 3,102.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.