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Finding the Fourth Proportional to 2,563.84, 3,539.46 and 2,510.38

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Solution

The fourth proportional to 2,563.84, 3,539.46 and 2,510.38 is: 3,465.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,563.84 : 3,539.46 = 2,510.38 : x
  2. Step 2: Convert to fraction form
    2,563.84/3,539.46 = 2,510.38/x
  3. Step 3: Cross multiply
    2,563.84x = 3,539.46 × 2,510.38
  4. Step 4: Simplify right side
    2,563.84x = 8,885,389.59
  5. Step 5: Solve for x
    x = 8,885,389.59/2,563.84
  6. Step 6: Final answer
    x = 3,465.66

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Why These Related Problems?

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