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Finding the Fourth Proportional to 1,702.94, 2,348.60 and 1,438.67

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Solution

The fourth proportional to 1,702.94, 2,348.60 and 1,438.67 is: 1,984.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,702.94 : 2,348.60 = 1,438.67 : x
  2. Step 2: Convert to fraction form
    1,702.94/2,348.60 = 1,438.67/x
  3. Step 3: Cross multiply
    1,702.94x = 2,348.60 × 1,438.67
  4. Step 4: Simplify right side
    1,702.94x = 3,378,841.43
  5. Step 5: Solve for x
    x = 3,378,841.43/1,702.94
  6. Step 6: Final answer
    x = 1,984.13

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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.