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Finding the Fourth Proportional to 2,416.32, 3,334.05 and 1,354.01

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Solution

The fourth proportional to 2,416.32, 3,334.05 and 1,354.01 is: 1,868.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,416.32 : 3,334.05 = 1,354.01 : x
  2. Step 2: Convert to fraction form
    2,416.32/3,334.05 = 1,354.01/x
  3. Step 3: Cross multiply
    2,416.32x = 3,334.05 × 1,354.01
  4. Step 4: Simplify right side
    2,416.32x = 4,514,320.37
  5. Step 5: Solve for x
    x = 4,514,320.37/2,416.32
  6. Step 6: Final answer
    x = 1,868.26

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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.