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Finding the Fourth Proportional to 2,562.84, 3,536.82 and 1,677.96

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Solution

The fourth proportional to 2,562.84, 3,536.82 and 1,677.96 is: 2,315.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,562.84 : 3,536.82 = 1,677.96 : x
  2. Step 2: Convert to fraction form
    2,562.84/3,536.82 = 1,677.96/x
  3. Step 3: Cross multiply
    2,562.84x = 3,536.82 × 1,677.96
  4. Step 4: Simplify right side
    2,562.84x = 5,934,642.49
  5. Step 5: Solve for x
    x = 5,934,642.49/2,562.84
  6. Step 6: Final answer
    x = 2,315.65

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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.