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Finding the Fourth Proportional to 2,352, 3,244.16 and 1,419.84

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Solution

The fourth proportional to 2,352, 3,244.16 and 1,419.84 is: 1,958.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,352 : 3,244.16 = 1,419.84 : x
  2. Step 2: Convert to fraction form
    2,352/3,244.16 = 1,419.84/x
  3. Step 3: Cross multiply
    2,352x = 3,244.16 × 1,419.84
  4. Step 4: Simplify right side
    2,352x = 4,606,188.13
  5. Step 5: Solve for x
    x = 4,606,188.13/2,352
  6. Step 6: Final answer
    x = 1,958.41

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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.