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Finding the Fourth Proportional to 1,612.76, 2,225.64 and 914.16

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Solution

The fourth proportional to 1,612.76, 2,225.64 and 914.16 is: 1,261.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,612.76 : 2,225.64 = 914.16 : x
  2. Step 2: Convert to fraction form
    1,612.76/2,225.64 = 914.16/x
  3. Step 3: Cross multiply
    1,612.76x = 2,225.64 × 914.16
  4. Step 4: Simplify right side
    1,612.76x = 2,034,591.06
  5. Step 5: Solve for x
    x = 2,034,591.06/1,612.76
  6. Step 6: Final answer
    x = 1,261.56

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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.