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Finding the Fourth Proportional to 1,748.70, 2,411.19 and 1,394.35

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Solution

The fourth proportional to 1,748.70, 2,411.19 and 1,394.35 is: 1,922.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,748.70 : 2,411.19 = 1,394.35 : x
  2. Step 2: Convert to fraction form
    1,748.70/2,411.19 = 1,394.35/x
  3. Step 3: Cross multiply
    1,748.70x = 2,411.19 × 1,394.35
  4. Step 4: Simplify right side
    1,748.70x = 3,362,042.78
  5. Step 5: Solve for x
    x = 3,362,042.78/1,748.70
  6. Step 6: Final answer
    x = 1,922.60

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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.