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Finding the Fourth Proportional to 2,046.63, 3,066.90 and 1,315.60

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Solution

The fourth proportional to 2,046.63, 3,066.90 and 1,315.60 is: 1,971.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,046.63 : 3,066.90 = 1,315.60 : x
  2. Step 2: Convert to fraction form
    2,046.63/3,066.90 = 1,315.60/x
  3. Step 3: Cross multiply
    2,046.63x = 3,066.90 × 1,315.60
  4. Step 4: Simplify right side
    2,046.63x = 4,034,813.64
  5. Step 5: Solve for x
    x = 4,034,813.64/2,046.63
  6. Step 6: Final answer
    x = 1,971.44

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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.