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Finding the Fourth Proportional to 2,316.99, 3,475.77 and 757.15

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Solution

The fourth proportional to 2,316.99, 3,475.77 and 757.15 is: 1,135.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,316.99 : 3,475.77 = 757.15 : x
  2. Step 2: Convert to fraction form
    2,316.99/3,475.77 = 757.15/x
  3. Step 3: Cross multiply
    2,316.99x = 3,475.77 × 757.15
  4. Step 4: Simplify right side
    2,316.99x = 2,631,679.26
  5. Step 5: Solve for x
    x = 2,631,679.26/2,316.99
  6. Step 6: Final answer
    x = 1,135.82

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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.