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Finding the Fourth Proportional to 2,123.10, 2,965.05 and 2,123.10

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Solution

The fourth proportional to 2,123.10, 2,965.05 and 2,123.10 is: 2,965.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,123.10 : 2,965.05 = 2,123.10 : x
  2. Step 2: Convert to fraction form
    2,123.10/2,965.05 = 2,123.10/x
  3. Step 3: Cross multiply
    2,123.10x = 2,965.05 × 2,123.10
  4. Step 4: Simplify right side
    2,123.10x = 6,295,097.66
  5. Step 5: Solve for x
    x = 6,295,097.66/2,123.10
  6. Step 6: Final answer
    x = 2,965.05

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.