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Finding the Fourth Proportional to 3,050.03, 4,575.72 and 970.67

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Solution

The fourth proportional to 3,050.03, 4,575.72 and 970.67 is: 1,456.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,050.03 : 4,575.72 = 970.67 : x
  2. Step 2: Convert to fraction form
    3,050.03/4,575.72 = 970.67/x
  3. Step 3: Cross multiply
    3,050.03x = 4,575.72 × 970.67
  4. Step 4: Simplify right side
    3,050.03x = 4,441,514.13
  5. Step 5: Solve for x
    x = 4,441,514.13/3,050.03
  6. Step 6: Final answer
    x = 1,456.22

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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.