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Finding the Fourth Proportional to 3,173.54, 4,378.42 and 1,846.16

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Solution

The fourth proportional to 3,173.54, 4,378.42 and 1,846.16 is: 2,547.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,173.54 : 4,378.42 = 1,846.16 : x
  2. Step 2: Convert to fraction form
    3,173.54/4,378.42 = 1,846.16/x
  3. Step 3: Cross multiply
    3,173.54x = 4,378.42 × 1,846.16
  4. Step 4: Simplify right side
    3,173.54x = 8,083,263.87
  5. Step 5: Solve for x
    x = 8,083,263.87/3,173.54
  6. Step 6: Final answer
    x = 2,547.08

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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.