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Finding the Fourth Proportional to 2,031.99, 3,047.93 and 571.10

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Solution

The fourth proportional to 2,031.99, 3,047.93 and 571.10 is: 856.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,031.99 : 3,047.93 = 571.10 : x
  2. Step 2: Convert to fraction form
    2,031.99/3,047.93 = 571.10/x
  3. Step 3: Cross multiply
    2,031.99x = 3,047.93 × 571.10
  4. Step 4: Simplify right side
    2,031.99x = 1,740,674.01
  5. Step 5: Solve for x
    x = 1,740,674.01/2,031.99
  6. Step 6: Final answer
    x = 856.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.