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Finding the Fourth Proportional to 2,460.17, 3,394.71 and 1,577.17

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Solution

The fourth proportional to 2,460.17, 3,394.71 and 1,577.17 is: 2,176.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,460.17 : 3,394.71 = 1,577.17 : x
  2. Step 2: Convert to fraction form
    2,460.17/3,394.71 = 1,577.17/x
  3. Step 3: Cross multiply
    2,460.17x = 3,394.71 × 1,577.17
  4. Step 4: Simplify right side
    2,460.17x = 5,354,039.01
  5. Step 5: Solve for x
    x = 5,354,039.01/2,460.17
  6. Step 6: Final answer
    x = 2,176.29

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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.