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Finding the Fourth Proportional to 3,099.57, 4,648.43 and 907.77

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Solution

The fourth proportional to 3,099.57, 4,648.43 and 907.77 is: 1,361.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,099.57 : 4,648.43 = 907.77 : x
  2. Step 2: Convert to fraction form
    3,099.57/4,648.43 = 907.77/x
  3. Step 3: Cross multiply
    3,099.57x = 4,648.43 × 907.77
  4. Step 4: Simplify right side
    3,099.57x = 4,219,700.76
  5. Step 5: Solve for x
    x = 4,219,700.76/3,099.57
  6. Step 6: Final answer
    x = 1,361.38

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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.