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Finding the Fourth Proportional to 2,586.69, 3,567.01 and 2,214.90

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Solution

The fourth proportional to 2,586.69, 3,567.01 and 2,214.90 is: 3,054.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,586.69 : 3,567.01 = 2,214.90 : x
  2. Step 2: Convert to fraction form
    2,586.69/3,567.01 = 2,214.90/x
  3. Step 3: Cross multiply
    2,586.69x = 3,567.01 × 2,214.90
  4. Step 4: Simplify right side
    2,586.69x = 7,900,570.45
  5. Step 5: Solve for x
    x = 7,900,570.45/2,586.69
  6. Step 6: Final answer
    x = 3,054.32

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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.