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Finding the Fourth Proportional to 2,457.19, 3,685.76 and 995.99

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Solution

The fourth proportional to 2,457.19, 3,685.76 and 995.99 is: 1,493.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,457.19 : 3,685.76 = 995.99 : x
  2. Step 2: Convert to fraction form
    2,457.19/3,685.76 = 995.99/x
  3. Step 3: Cross multiply
    2,457.19x = 3,685.76 × 995.99
  4. Step 4: Simplify right side
    2,457.19x = 3,670,975.12
  5. Step 5: Solve for x
    x = 3,670,975.12/2,457.19
  6. Step 6: Final answer
    x = 1,493.98

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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.