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Finding the Fourth Proportional to 2,026, 3,024.50 and 1,715.76

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Solution

The fourth proportional to 2,026, 3,024.50 and 1,715.76 is: 2,561.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,026 : 3,024.50 = 1,715.76 : x
  2. Step 2: Convert to fraction form
    2,026/3,024.50 = 1,715.76/x
  3. Step 3: Cross multiply
    2,026x = 3,024.50 × 1,715.76
  4. Step 4: Simplify right side
    2,026x = 5,189,316.12
  5. Step 5: Solve for x
    x = 5,189,316.12/2,026
  6. Step 6: Final answer
    x = 2,561.36

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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.