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Finding the Fourth Proportional to 2,416.56, 3,332.71 and 1,631.67

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Solution

The fourth proportional to 2,416.56, 3,332.71 and 1,631.67 is: 2,250.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,416.56 : 3,332.71 = 1,631.67 : x
  2. Step 2: Convert to fraction form
    2,416.56/3,332.71 = 1,631.67/x
  3. Step 3: Cross multiply
    2,416.56x = 3,332.71 × 1,631.67
  4. Step 4: Simplify right side
    2,416.56x = 5,437,882.93
  5. Step 5: Solve for x
    x = 5,437,882.93/2,416.56
  6. Step 6: Final answer
    x = 2,250.26

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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.