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Finding the Fourth Proportional to 2,804.07, 3,868.52 and 1,624.92

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Solution

The fourth proportional to 2,804.07, 3,868.52 and 1,624.92 is: 2,241.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,804.07 : 3,868.52 = 1,624.92 : x
  2. Step 2: Convert to fraction form
    2,804.07/3,868.52 = 1,624.92/x
  3. Step 3: Cross multiply
    2,804.07x = 3,868.52 × 1,624.92
  4. Step 4: Simplify right side
    2,804.07x = 6,286,035.52
  5. Step 5: Solve for x
    x = 6,286,035.52/2,804.07
  6. Step 6: Final answer
    x = 2,241.75

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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.