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Finding the Fourth Proportional to 2,509.46, 3,461.19 and 1,624.58

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Solution

The fourth proportional to 2,509.46, 3,461.19 and 1,624.58 is: 2,240.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,509.46 : 3,461.19 = 1,624.58 : x
  2. Step 2: Convert to fraction form
    2,509.46/3,461.19 = 1,624.58/x
  3. Step 3: Cross multiply
    2,509.46x = 3,461.19 × 1,624.58
  4. Step 4: Simplify right side
    2,509.46x = 5,622,980.05
  5. Step 5: Solve for x
    x = 5,622,980.05/2,509.46
  6. Step 6: Final answer
    x = 2,240.71

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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.