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Finding the Fourth Proportional to 2,516.94, 3,775.82 and 785.57

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Solution

The fourth proportional to 2,516.94, 3,775.82 and 785.57 is: 1,178.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,516.94 : 3,775.82 = 785.57 : x
  2. Step 2: Convert to fraction form
    2,516.94/3,775.82 = 785.57/x
  3. Step 3: Cross multiply
    2,516.94x = 3,775.82 × 785.57
  4. Step 4: Simplify right side
    2,516.94x = 2,966,148.11
  5. Step 5: Solve for x
    x = 2,966,148.11/2,516.94
  6. Step 6: Final answer
    x = 1,178.47

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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.