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Finding the Fourth Proportional to 2,577.76, 3,558.11 and 1,646.26

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Solution

The fourth proportional to 2,577.76, 3,558.11 and 1,646.26 is: 2,272.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,577.76 : 3,558.11 = 1,646.26 : x
  2. Step 2: Convert to fraction form
    2,577.76/3,558.11 = 1,646.26/x
  3. Step 3: Cross multiply
    2,577.76x = 3,558.11 × 1,646.26
  4. Step 4: Simplify right side
    2,577.76x = 5,857,574.17
  5. Step 5: Solve for x
    x = 5,857,574.17/2,577.76
  6. Step 6: Final answer
    x = 2,272.35

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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.