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Finding the Fourth Proportional to 2,584.77, 3,567.02 and 1,405.86

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Solution

The fourth proportional to 2,584.77, 3,567.02 and 1,405.86 is: 1,940.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,584.77 : 3,567.02 = 1,405.86 : x
  2. Step 2: Convert to fraction form
    2,584.77/3,567.02 = 1,405.86/x
  3. Step 3: Cross multiply
    2,584.77x = 3,567.02 × 1,405.86
  4. Step 4: Simplify right side
    2,584.77x = 5,014,730.74
  5. Step 5: Solve for x
    x = 5,014,730.74/2,584.77
  6. Step 6: Final answer
    x = 1,940.11

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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.