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Finding the Fourth Proportional to 1,874.32, 2,811.16 and 506

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Solution

The fourth proportional to 1,874.32, 2,811.16 and 506 is: 758.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,874.32 : 2,811.16 = 506 : x
  2. Step 2: Convert to fraction form
    1,874.32/2,811.16 = 506/x
  3. Step 3: Cross multiply
    1,874.32x = 2,811.16 × 506
  4. Step 4: Simplify right side
    1,874.32x = 1,422,446.96
  5. Step 5: Solve for x
    x = 1,422,446.96/1,874.32
  6. Step 6: Final answer
    x = 758.91

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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.