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Finding the Fourth Proportional to 1,544.56, 2,316.84 and 723.41

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Solution

The fourth proportional to 1,544.56, 2,316.84 and 723.41 is: 1,085.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,544.56 : 2,316.84 = 723.41 : x
  2. Step 2: Convert to fraction form
    1,544.56/2,316.84 = 723.41/x
  3. Step 3: Cross multiply
    1,544.56x = 2,316.84 × 723.41
  4. Step 4: Simplify right side
    1,544.56x = 1,676,025.22
  5. Step 5: Solve for x
    x = 1,676,025.22/1,544.56
  6. Step 6: Final answer
    x = 1,085.12

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Why These Related Problems?

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