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Finding the Fourth Proportional to 2,294.69, 3,165.03 and 2,106.25

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Solution

The fourth proportional to 2,294.69, 3,165.03 and 2,106.25 is: 2,905.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,294.69 : 3,165.03 = 2,106.25 : x
  2. Step 2: Convert to fraction form
    2,294.69/3,165.03 = 2,106.25/x
  3. Step 3: Cross multiply
    2,294.69x = 3,165.03 × 2,106.25
  4. Step 4: Simplify right side
    2,294.69x = 6,666,328.61
  5. Step 5: Solve for x
    x = 6,666,328.61/2,294.69
  6. Step 6: Final answer
    x = 2,905.11

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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.