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Finding the Fourth Proportional to 2,359.48, 3,256.14 and 1,297.27

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Solution

The fourth proportional to 2,359.48, 3,256.14 and 1,297.27 is: 1,790.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,359.48 : 3,256.14 = 1,297.27 : x
  2. Step 2: Convert to fraction form
    2,359.48/3,256.14 = 1,297.27/x
  3. Step 3: Cross multiply
    2,359.48x = 3,256.14 × 1,297.27
  4. Step 4: Simplify right side
    2,359.48x = 4,224,079.71
  5. Step 5: Solve for x
    x = 4,224,079.71/2,359.48
  6. Step 6: Final answer
    x = 1,790.26

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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.