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Finding the Fourth Proportional to 2,551.98, 3,827.72 and 703.02

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Solution

The fourth proportional to 2,551.98, 3,827.72 and 703.02 is: 1,054.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,551.98 : 3,827.72 = 703.02 : x
  2. Step 2: Convert to fraction form
    2,551.98/3,827.72 = 703.02/x
  3. Step 3: Cross multiply
    2,551.98x = 3,827.72 × 703.02
  4. Step 4: Simplify right side
    2,551.98x = 2,690,963.71
  5. Step 5: Solve for x
    x = 2,690,963.71/2,551.98
  6. Step 6: Final answer
    x = 1,054.46

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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.