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Finding the Fourth Proportional to 2,551.34, 3,826.57 and 702.58

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Solution

The fourth proportional to 2,551.34, 3,826.57 and 702.58 is: 1,053.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,551.34 : 3,826.57 = 702.58 : x
  2. Step 2: Convert to fraction form
    2,551.34/3,826.57 = 702.58/x
  3. Step 3: Cross multiply
    2,551.34x = 3,826.57 × 702.58
  4. Step 4: Simplify right side
    2,551.34x = 2,688,471.55
  5. Step 5: Solve for x
    x = 2,688,471.55/2,551.34
  6. Step 6: Final answer
    x = 1,053.75

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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.