Home / 2,242.50-3,096.10-1,457.70

Finding the Fourth Proportional to 2,242.50, 3,096.10 and 1,457.70

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Solution

The fourth proportional to 2,242.50, 3,096.10 and 1,457.70 is: 2,012.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,242.50 : 3,096.10 = 1,457.70 : x
  2. Step 2: Convert to fraction form
    2,242.50/3,096.10 = 1,457.70/x
  3. Step 3: Cross multiply
    2,242.50x = 3,096.10 × 1,457.70
  4. Step 4: Simplify right side
    2,242.50x = 4,513,184.97
  5. Step 5: Solve for x
    x = 4,513,184.97/2,242.50
  6. Step 6: Final answer
    x = 2,012.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.