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Finding the Fourth Proportional to 2,737.40, 4,107.04 and 1,503.24

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Solution

The fourth proportional to 2,737.40, 4,107.04 and 1,503.24 is: 2,255.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,737.40 : 4,107.04 = 1,503.24 : x
  2. Step 2: Convert to fraction form
    2,737.40/4,107.04 = 1,503.24/x
  3. Step 3: Cross multiply
    2,737.40x = 4,107.04 × 1,503.24
  4. Step 4: Simplify right side
    2,737.40x = 6,173,866.81
  5. Step 5: Solve for x
    x = 6,173,866.81/2,737.40
  6. Step 6: Final answer
    x = 2,255.38

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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.