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Finding the Fourth Proportional to 2,109.09, 3,164.00 and 647.91

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Solution

The fourth proportional to 2,109.09, 3,164.00 and 647.91 is: 971.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109.09 : 3,164.00 = 647.91 : x
  2. Step 2: Convert to fraction form
    2,109.09/3,164.00 = 647.91/x
  3. Step 3: Cross multiply
    2,109.09x = 3,164.00 × 647.91
  4. Step 4: Simplify right side
    2,109.09x = 2,049,984.00
  5. Step 5: Solve for x
    x = 2,049,984.00/2,109.09
  6. Step 6: Final answer
    x = 971.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.