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Finding the Fourth Proportional to 2,715.40, 4,065.35 and 2,455.90

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Solution

The fourth proportional to 2,715.40, 4,065.35 and 2,455.90 is: 3,676.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,715.40 : 4,065.35 = 2,455.90 : x
  2. Step 2: Convert to fraction form
    2,715.40/4,065.35 = 2,455.90/x
  3. Step 3: Cross multiply
    2,715.40x = 4,065.35 × 2,455.90
  4. Step 4: Simplify right side
    2,715.40x = 9,984,093.07
  5. Step 5: Solve for x
    x = 9,984,093.07/2,715.40
  6. Step 6: Final answer
    x = 3,676.84

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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.