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Finding the Fourth Proportional to 3,107.60, 4,658.01 and 1,548.77

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Solution

The fourth proportional to 3,107.60, 4,658.01 and 1,548.77 is: 2,321.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,107.60 : 4,658.01 = 1,548.77 : x
  2. Step 2: Convert to fraction form
    3,107.60/4,658.01 = 1,548.77/x
  3. Step 3: Cross multiply
    3,107.60x = 4,658.01 × 1,548.77
  4. Step 4: Simplify right side
    3,107.60x = 7,214,162.86
  5. Step 5: Solve for x
    x = 7,214,162.86/3,107.60
  6. Step 6: Final answer
    x = 2,321.46

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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.