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Finding the Fourth Proportional to 2,359.50, 3,256.47 and 1,428.54

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Solution

The fourth proportional to 2,359.50, 3,256.47 and 1,428.54 is: 1,971.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,359.50 : 3,256.47 = 1,428.54 : x
  2. Step 2: Convert to fraction form
    2,359.50/3,256.47 = 1,428.54/x
  3. Step 3: Cross multiply
    2,359.50x = 3,256.47 × 1,428.54
  4. Step 4: Simplify right side
    2,359.50x = 4,651,997.65
  5. Step 5: Solve for x
    x = 4,651,997.65/2,359.50
  6. Step 6: Final answer
    x = 1,971.60

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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.