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Finding the Fourth Proportional to 3,000.99, 4,140.68 and 1,741.71

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Solution

The fourth proportional to 3,000.99, 4,140.68 and 1,741.71 is: 2,403.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,000.99 : 4,140.68 = 1,741.71 : x
  2. Step 2: Convert to fraction form
    3,000.99/4,140.68 = 1,741.71/x
  3. Step 3: Cross multiply
    3,000.99x = 4,140.68 × 1,741.71
  4. Step 4: Simplify right side
    3,000.99x = 7,211,855.05
  5. Step 5: Solve for x
    x = 7,211,855.05/3,000.99
  6. Step 6: Final answer
    x = 2,403.16

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1.5x scale

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.