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Finding the Fourth Proportional to 1,652.99, 2,498.24 and 1,624.30

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Solution

The fourth proportional to 1,652.99, 2,498.24 and 1,624.30 is: 2,454.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,652.99 : 2,498.24 = 1,624.30 : x
  2. Step 2: Convert to fraction form
    1,652.99/2,498.24 = 1,624.30/x
  3. Step 3: Cross multiply
    1,652.99x = 2,498.24 × 1,624.30
  4. Step 4: Simplify right side
    1,652.99x = 4,057,889.05
  5. Step 5: Solve for x
    x = 4,057,889.05/1,652.99
  6. Step 6: Final answer
    x = 2,454.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.