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Finding the Fourth Proportional to 1,316.07, 1,974.08 and 342.16

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Solution

The fourth proportional to 1,316.07, 1,974.08 and 342.16 is: 513.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,316.07 : 1,974.08 = 342.16 : x
  2. Step 2: Convert to fraction form
    1,316.07/1,974.08 = 342.16/x
  3. Step 3: Cross multiply
    1,316.07x = 1,974.08 × 342.16
  4. Step 4: Simplify right side
    1,316.07x = 675,447.13
  5. Step 5: Solve for x
    x = 675,447.13/1,316.07
  6. Step 6: Final answer
    x = 513.23

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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.