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Finding the Fourth Proportional to 3,006.09, 4,509.09 and 1,544.40

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Solution

The fourth proportional to 3,006.09, 4,509.09 and 1,544.40 is: 2,316.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,006.09 : 4,509.09 = 1,544.40 : x
  2. Step 2: Convert to fraction form
    3,006.09/4,509.09 = 1,544.40/x
  3. Step 3: Cross multiply
    3,006.09x = 4,509.09 × 1,544.40
  4. Step 4: Simplify right side
    3,006.09x = 6,963,838.60
  5. Step 5: Solve for x
    x = 6,963,838.60/3,006.09
  6. Step 6: Final answer
    x = 2,316.58

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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.