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Finding the Fourth Proportional to 2,477.69, 3,419.31 and 1,415.63

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Solution

The fourth proportional to 2,477.69, 3,419.31 and 1,415.63 is: 1,953.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,477.69 : 3,419.31 = 1,415.63 : x
  2. Step 2: Convert to fraction form
    2,477.69/3,419.31 = 1,415.63/x
  3. Step 3: Cross multiply
    2,477.69x = 3,419.31 × 1,415.63
  4. Step 4: Simplify right side
    2,477.69x = 4,840,460.72
  5. Step 5: Solve for x
    x = 4,840,460.72/2,477.69
  6. Step 6: Final answer
    x = 1,953.62

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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.