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Finding the Fourth Proportional to 1,785.21, 2,463.62 and 999.26

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Solution

The fourth proportional to 1,785.21, 2,463.62 and 999.26 is: 1,378.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,785.21 : 2,463.62 = 999.26 : x
  2. Step 2: Convert to fraction form
    1,785.21/2,463.62 = 999.26/x
  3. Step 3: Cross multiply
    1,785.21x = 2,463.62 × 999.26
  4. Step 4: Simplify right side
    1,785.21x = 2,461,787.10
  5. Step 5: Solve for x
    x = 2,461,787.10/1,785.21
  6. Step 6: Final answer
    x = 1,378.99

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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.