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Finding the Fourth Proportional to 2,359.26, 3,256.74 and 1,574.64

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Solution

The fourth proportional to 2,359.26, 3,256.74 and 1,574.64 is: 2,173.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,359.26 : 3,256.74 = 1,574.64 : x
  2. Step 2: Convert to fraction form
    2,359.26/3,256.74 = 1,574.64/x
  3. Step 3: Cross multiply
    2,359.26x = 3,256.74 × 1,574.64
  4. Step 4: Simplify right side
    2,359.26x = 5,128,193.07
  5. Step 5: Solve for x
    x = 5,128,193.07/2,359.26
  6. Step 6: Final answer
    x = 2,173.64

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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.