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Finding the Fourth Proportional to 2,419.97, 3,341.15 and 1,859.40

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Solution

The fourth proportional to 2,419.97, 3,341.15 and 1,859.40 is: 2,567.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,419.97 : 3,341.15 = 1,859.40 : x
  2. Step 2: Convert to fraction form
    2,419.97/3,341.15 = 1,859.40/x
  3. Step 3: Cross multiply
    2,419.97x = 3,341.15 × 1,859.40
  4. Step 4: Simplify right side
    2,419.97x = 6,212,525.01
  5. Step 5: Solve for x
    x = 6,212,525.01/2,419.97
  6. Step 6: Final answer
    x = 2,567.20

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