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Finding the Fourth Proportional to 2,563, 3,521.59 and 2,038.12

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Solution

The fourth proportional to 2,563, 3,521.59 and 2,038.12 is: 2,800.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,563 : 3,521.59 = 2,038.12 : x
  2. Step 2: Convert to fraction form
    2,563/3,521.59 = 2,038.12/x
  3. Step 3: Cross multiply
    2,563x = 3,521.59 × 2,038.12
  4. Step 4: Simplify right side
    2,563x = 7,177,423.01
  5. Step 5: Solve for x
    x = 7,177,423.01/2,563
  6. Step 6: Final answer
    x = 2,800.40

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.