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Finding the Fourth Proportional to 2,153.17, 3,230.16 and 1,113.67

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Solution

The fourth proportional to 2,153.17, 3,230.16 and 1,113.67 is: 1,670.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,153.17 : 3,230.16 = 1,113.67 : x
  2. Step 2: Convert to fraction form
    2,153.17/3,230.16 = 1,113.67/x
  3. Step 3: Cross multiply
    2,153.17x = 3,230.16 × 1,113.67
  4. Step 4: Simplify right side
    2,153.17x = 3,597,332.29
  5. Step 5: Solve for x
    x = 3,597,332.29/2,153.17
  6. Step 6: Final answer
    x = 1,670.71

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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.