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Finding the Fourth Proportional to 2,890.91, 3,989.47 and 1,564.62

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Solution

The fourth proportional to 2,890.91, 3,989.47 and 1,564.62 is: 2,159.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,890.91 : 3,989.47 = 1,564.62 : x
  2. Step 2: Convert to fraction form
    2,890.91/3,989.47 = 1,564.62/x
  3. Step 3: Cross multiply
    2,890.91x = 3,989.47 × 1,564.62
  4. Step 4: Simplify right side
    2,890.91x = 6,242,004.55
  5. Step 5: Solve for x
    x = 6,242,004.55/2,890.91
  6. Step 6: Final answer
    x = 2,159.18

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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.