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Finding the Fourth Proportional to 2,477.34, 3,418.71 and 1,358.27

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Solution

The fourth proportional to 2,477.34, 3,418.71 and 1,358.27 is: 1,874.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,477.34 : 3,418.71 = 1,358.27 : x
  2. Step 2: Convert to fraction form
    2,477.34/3,418.71 = 1,358.27/x
  3. Step 3: Cross multiply
    2,477.34x = 3,418.71 × 1,358.27
  4. Step 4: Simplify right side
    2,477.34x = 4,643,514.14
  5. Step 5: Solve for x
    x = 4,643,514.14/2,477.34
  6. Step 6: Final answer
    x = 1,874.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.