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Finding the Fourth Proportional to 2,025, 3,023.01 and 1,714.76

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Solution

The fourth proportional to 2,025, 3,023.01 and 1,714.76 is: 2,559.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,025 : 3,023.01 = 1,714.76 : x
  2. Step 2: Convert to fraction form
    2,025/3,023.01 = 1,714.76/x
  3. Step 3: Cross multiply
    2,025x = 3,023.01 × 1,714.76
  4. Step 4: Simplify right side
    2,025x = 5,183,736.63
  5. Step 5: Solve for x
    x = 5,183,736.63/2,025
  6. Step 6: Final answer
    x = 2,559.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.