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Finding the Fourth Proportional to 2,516.21, 3,774.32 and 872.76

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Solution

The fourth proportional to 2,516.21, 3,774.32 and 872.76 is: 1,309.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,516.21 : 3,774.32 = 872.76 : x
  2. Step 2: Convert to fraction form
    2,516.21/3,774.32 = 872.76/x
  3. Step 3: Cross multiply
    2,516.21x = 3,774.32 × 872.76
  4. Step 4: Simplify right side
    2,516.21x = 3,294,075.52
  5. Step 5: Solve for x
    x = 3,294,075.52/2,516.21
  6. Step 6: Final answer
    x = 1,309.14

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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.