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Finding the Fourth Proportional to 2,316.07, 3,474.42 and 929.55

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Solution

The fourth proportional to 2,316.07, 3,474.42 and 929.55 is: 1,394.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,316.07 : 3,474.42 = 929.55 : x
  2. Step 2: Convert to fraction form
    2,316.07/3,474.42 = 929.55/x
  3. Step 3: Cross multiply
    2,316.07x = 3,474.42 × 929.55
  4. Step 4: Simplify right side
    2,316.07x = 3,229,647.11
  5. Step 5: Solve for x
    x = 3,229,647.11/2,316.07
  6. Step 6: Final answer
    x = 1,394.45

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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.