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Finding the Fourth Proportional to 2,758.59, 3,804.96 and 2,303.09

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Solution

The fourth proportional to 2,758.59, 3,804.96 and 2,303.09 is: 3,176.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,758.59 : 3,804.96 = 2,303.09 : x
  2. Step 2: Convert to fraction form
    2,758.59/3,804.96 = 2,303.09/x
  3. Step 3: Cross multiply
    2,758.59x = 3,804.96 × 2,303.09
  4. Step 4: Simplify right side
    2,758.59x = 8,763,165.33
  5. Step 5: Solve for x
    x = 8,763,165.33/2,758.59
  6. Step 6: Final answer
    x = 3,176.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.