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Finding the Fourth Proportional to 2,356.86, 3,536.96 and 971.46

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Solution

The fourth proportional to 2,356.86, 3,536.96 and 971.46 is: 1,457.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,356.86 : 3,536.96 = 971.46 : x
  2. Step 2: Convert to fraction form
    2,356.86/3,536.96 = 971.46/x
  3. Step 3: Cross multiply
    2,356.86x = 3,536.96 × 971.46
  4. Step 4: Simplify right side
    2,356.86x = 3,436,015.16
  5. Step 5: Solve for x
    x = 3,436,015.16/2,356.86
  6. Step 6: Final answer
    x = 1,457.88

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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.