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Finding the Fourth Proportional to 2,259.33, 3,390.82 and 1,164.01

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Solution

The fourth proportional to 2,259.33, 3,390.82 and 1,164.01 is: 1,746.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,259.33 : 3,390.82 = 1,164.01 : x
  2. Step 2: Convert to fraction form
    2,259.33/3,390.82 = 1,164.01/x
  3. Step 3: Cross multiply
    2,259.33x = 3,390.82 × 1,164.01
  4. Step 4: Simplify right side
    2,259.33x = 3,946,948.39
  5. Step 5: Solve for x
    x = 3,946,948.39/2,259.33
  6. Step 6: Final answer
    x = 1,746.96

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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.