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Finding the Fourth Proportional to 1,409.56, 2,111.10 and 1,164.40

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Solution

The fourth proportional to 1,409.56, 2,111.10 and 1,164.40 is: 1,743.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409.56 : 2,111.10 = 1,164.40 : x
  2. Step 2: Convert to fraction form
    1,409.56/2,111.10 = 1,164.40/x
  3. Step 3: Cross multiply
    1,409.56x = 2,111.10 × 1,164.40
  4. Step 4: Simplify right side
    1,409.56x = 2,458,164.84
  5. Step 5: Solve for x
    x = 2,458,164.84/1,409.56
  6. Step 6: Final answer
    x = 1,743.92

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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.