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Finding the Fourth Proportional to 2,804.24, 3,870.12 and 1,624.88

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Solution

The fourth proportional to 2,804.24, 3,870.12 and 1,624.88 is: 2,242.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,804.24 : 3,870.12 = 1,624.88 : x
  2. Step 2: Convert to fraction form
    2,804.24/3,870.12 = 1,624.88/x
  3. Step 3: Cross multiply
    2,804.24x = 3,870.12 × 1,624.88
  4. Step 4: Simplify right side
    2,804.24x = 6,288,480.59
  5. Step 5: Solve for x
    x = 6,288,480.59/2,804.24
  6. Step 6: Final answer
    x = 2,242.49

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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.