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Finding the Fourth Proportional to 3,050.08, 4,575.35 and 970.02

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Solution

The fourth proportional to 3,050.08, 4,575.35 and 970.02 is: 1,455.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,050.08 : 4,575.35 = 970.02 : x
  2. Step 2: Convert to fraction form
    3,050.08/4,575.35 = 970.02/x
  3. Step 3: Cross multiply
    3,050.08x = 4,575.35 × 970.02
  4. Step 4: Simplify right side
    3,050.08x = 4,438,183.43
  5. Step 5: Solve for x
    x = 4,438,183.43/3,050.08
  6. Step 6: Final answer
    x = 1,455.11

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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.