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Finding the Fourth Proportional to 1,651.48, 2,478.42 and 1,330.72

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Solution

The fourth proportional to 1,651.48, 2,478.42 and 1,330.72 is: 1,997.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,651.48 : 2,478.42 = 1,330.72 : x
  2. Step 2: Convert to fraction form
    1,651.48/2,478.42 = 1,330.72/x
  3. Step 3: Cross multiply
    1,651.48x = 2,478.42 × 1,330.72
  4. Step 4: Simplify right side
    1,651.48x = 3,298,083.06
  5. Step 5: Solve for x
    x = 3,298,083.06/1,651.48
  6. Step 6: Final answer
    x = 1,997.05

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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.