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Finding the Fourth Proportional to 2,509.00, 3,763.46 and 948.94

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Solution

The fourth proportional to 2,509.00, 3,763.46 and 948.94 is: 1,423.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,509.00 : 3,763.46 = 948.94 : x
  2. Step 2: Convert to fraction form
    2,509.00/3,763.46 = 948.94/x
  3. Step 3: Cross multiply
    2,509.00x = 3,763.46 × 948.94
  4. Step 4: Simplify right side
    2,509.00x = 3,571,290.70
  5. Step 5: Solve for x
    x = 3,571,290.70/2,509.00
  6. Step 6: Final answer
    x = 1,423.39

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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.