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Finding the Fourth Proportional to 2,645, 3,966.51 and 2,123.72

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Solution

The fourth proportional to 2,645, 3,966.51 and 2,123.72 is: 3,184.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,645 : 3,966.51 = 2,123.72 : x
  2. Step 2: Convert to fraction form
    2,645/3,966.51 = 2,123.72/x
  3. Step 3: Cross multiply
    2,645x = 3,966.51 × 2,123.72
  4. Step 4: Simplify right side
    2,645x = 8,423,756.62
  5. Step 5: Solve for x
    x = 8,423,756.62/2,645
  6. Step 6: Final answer
    x = 3,184.79

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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.