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Finding the Fourth Proportional to 3,050.22, 4,575.75 and 970

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Solution

The fourth proportional to 3,050.22, 4,575.75 and 970 is: 1,455.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,050.22 : 4,575.75 = 970 : x
  2. Step 2: Convert to fraction form
    3,050.22/4,575.75 = 970/x
  3. Step 3: Cross multiply
    3,050.22x = 4,575.75 × 970
  4. Step 4: Simplify right side
    3,050.22x = 4,438,477.50
  5. Step 5: Solve for x
    x = 4,438,477.50/3,050.22
  6. Step 6: Final answer
    x = 1,455.14

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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.