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Finding the Fourth Proportional to 2,265.99, 3,383.47 and 2,030.20

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Solution

The fourth proportional to 2,265.99, 3,383.47 and 2,030.20 is: 3,031.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,265.99 : 3,383.47 = 2,030.20 : x
  2. Step 2: Convert to fraction form
    2,265.99/3,383.47 = 2,030.20/x
  3. Step 3: Cross multiply
    2,265.99x = 3,383.47 × 2,030.20
  4. Step 4: Simplify right side
    2,265.99x = 6,869,120.79
  5. Step 5: Solve for x
    x = 6,869,120.79/2,265.99
  6. Step 6: Final answer
    x = 3,031.40

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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.