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Finding the Fourth Proportional to 2,457.14, 3,685.70 and 608.22

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Solution

The fourth proportional to 2,457.14, 3,685.70 and 608.22 is: 912.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,457.14 : 3,685.70 = 608.22 : x
  2. Step 2: Convert to fraction form
    2,457.14/3,685.70 = 608.22/x
  3. Step 3: Cross multiply
    2,457.14x = 3,685.70 × 608.22
  4. Step 4: Simplify right side
    2,457.14x = 2,241,727.19
  5. Step 5: Solve for x
    x = 2,241,727.19/2,457.14
  6. Step 6: Final answer
    x = 912.33

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1.5x scale

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.