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Finding the Fourth Proportional to 2,465.88, 3,698.10 and 2,031.96

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Solution

The fourth proportional to 2,465.88, 3,698.10 and 2,031.96 is: 3,047.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,465.88 : 3,698.10 = 2,031.96 : x
  2. Step 2: Convert to fraction form
    2,465.88/3,698.10 = 2,031.96/x
  3. Step 3: Cross multiply
    2,465.88x = 3,698.10 × 2,031.96
  4. Step 4: Simplify right side
    2,465.88x = 7,514,391.28
  5. Step 5: Solve for x
    x = 7,514,391.28/2,465.88
  6. Step 6: Final answer
    x = 3,047.35

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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.