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Finding the Fourth Proportional to 3,050.77, 4,576.61 and 970.16

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Solution

The fourth proportional to 3,050.77, 4,576.61 and 970.16 is: 1,455.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,050.77 : 4,576.61 = 970.16 : x
  2. Step 2: Convert to fraction form
    3,050.77/4,576.61 = 970.16/x
  3. Step 3: Cross multiply
    3,050.77x = 4,576.61 × 970.16
  4. Step 4: Simplify right side
    3,050.77x = 4,440,049.24
  5. Step 5: Solve for x
    x = 4,440,049.24/3,050.77
  6. Step 6: Final answer
    x = 1,455.39

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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.