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Finding the Fourth Proportional to 2,457.30, 3,684.24 and 1,970.22

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Solution

The fourth proportional to 2,457.30, 3,684.24 and 1,970.22 is: 2,953.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,457.30 : 3,684.24 = 1,970.22 : x
  2. Step 2: Convert to fraction form
    2,457.30/3,684.24 = 1,970.22/x
  3. Step 3: Cross multiply
    2,457.30x = 3,684.24 × 1,970.22
  4. Step 4: Simplify right side
    2,457.30x = 7,258,763.33
  5. Step 5: Solve for x
    x = 7,258,763.33/2,457.30
  6. Step 6: Final answer
    x = 2,953.96

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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.