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Finding the Fourth Proportional to 1,741.46, 2,612.19 and 442.94

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Solution

The fourth proportional to 1,741.46, 2,612.19 and 442.94 is: 664.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,741.46 : 2,612.19 = 442.94 : x
  2. Step 2: Convert to fraction form
    1,741.46/2,612.19 = 442.94/x
  3. Step 3: Cross multiply
    1,741.46x = 2,612.19 × 442.94
  4. Step 4: Simplify right side
    1,741.46x = 1,157,030.38
  5. Step 5: Solve for x
    x = 1,157,030.38/1,741.46
  6. Step 6: Final answer
    x = 664.40

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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.