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Finding the Fourth Proportional to 3,050.53, 4,576.03 and 970.45

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Solution

The fourth proportional to 3,050.53, 4,576.03 and 970.45 is: 1,455.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,050.53 : 4,576.03 = 970.45 : x
  2. Step 2: Convert to fraction form
    3,050.53/4,576.03 = 970.45/x
  3. Step 3: Cross multiply
    3,050.53x = 4,576.03 × 970.45
  4. Step 4: Simplify right side
    3,050.53x = 4,440,794.45
  5. Step 5: Solve for x
    x = 4,440,794.45/3,050.53
  6. Step 6: Final answer
    x = 1,455.75

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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.