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Finding the Fourth Proportional to 2,153.76, 3,228.89 and 2,031.54

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Solution

The fourth proportional to 2,153.76, 3,228.89 and 2,031.54 is: 3,045.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,153.76 : 3,228.89 = 2,031.54 : x
  2. Step 2: Convert to fraction form
    2,153.76/3,228.89 = 2,031.54/x
  3. Step 3: Cross multiply
    2,153.76x = 3,228.89 × 2,031.54
  4. Step 4: Simplify right side
    2,153.76x = 6,559,619.19
  5. Step 5: Solve for x
    x = 6,559,619.19/2,153.76
  6. Step 6: Final answer
    x = 3,045.66

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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.