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Finding the Fourth Proportional to 1,559.36, 2,339.64 and 943.52

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Solution

The fourth proportional to 1,559.36, 2,339.64 and 943.52 is: 1,415.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,559.36 : 2,339.64 = 943.52 : x
  2. Step 2: Convert to fraction form
    1,559.36/2,339.64 = 943.52/x
  3. Step 3: Cross multiply
    1,559.36x = 2,339.64 × 943.52
  4. Step 4: Simplify right side
    1,559.36x = 2,207,497.13
  5. Step 5: Solve for x
    x = 2,207,497.13/1,559.36
  6. Step 6: Final answer
    x = 1,415.64

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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.