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Finding the Fourth Proportional to 2,359.37, 3,536.05 and 971.14

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Solution

The fourth proportional to 2,359.37, 3,536.05 and 971.14 is: 1,455.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,359.37 : 3,536.05 = 971.14 : x
  2. Step 2: Convert to fraction form
    2,359.37/3,536.05 = 971.14/x
  3. Step 3: Cross multiply
    2,359.37x = 3,536.05 × 971.14
  4. Step 4: Simplify right side
    2,359.37x = 3,433,999.60
  5. Step 5: Solve for x
    x = 3,433,999.60/2,359.37
  6. Step 6: Final answer
    x = 1,455.47

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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.