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Finding the Fourth Proportional to 2,359.82, 3,536.96 and 972.47

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Solution

The fourth proportional to 2,359.82, 3,536.96 and 972.47 is: 1,457.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,359.82 : 3,536.96 = 972.47 : x
  2. Step 2: Convert to fraction form
    2,359.82/3,536.96 = 972.47/x
  3. Step 3: Cross multiply
    2,359.82x = 3,536.96 × 972.47
  4. Step 4: Simplify right side
    2,359.82x = 3,439,564.94
  5. Step 5: Solve for x
    x = 3,439,564.94/2,359.82
  6. Step 6: Final answer
    x = 1,457.56

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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.