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Finding the Fourth Proportional to 1,864.59, 2,571.26 and 1,164.75

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Solution

The fourth proportional to 1,864.59, 2,571.26 and 1,164.75 is: 1,606.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,864.59 : 2,571.26 = 1,164.75 : x
  2. Step 2: Convert to fraction form
    1,864.59/2,571.26 = 1,164.75/x
  3. Step 3: Cross multiply
    1,864.59x = 2,571.26 × 1,164.75
  4. Step 4: Simplify right side
    1,864.59x = 2,994,869.26
  5. Step 5: Solve for x
    x = 2,994,869.26/1,864.59
  6. Step 6: Final answer
    x = 1,606.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.