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Finding the Fourth Proportional to 1,740, 2,402.46 and 1,120.08

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Solution

The fourth proportional to 1,740, 2,402.46 and 1,120.08 is: 1,546.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,740 : 2,402.46 = 1,120.08 : x
  2. Step 2: Convert to fraction form
    1,740/2,402.46 = 1,120.08/x
  3. Step 3: Cross multiply
    1,740x = 2,402.46 × 1,120.08
  4. Step 4: Simplify right side
    1,740x = 2,690,947.40
  5. Step 5: Solve for x
    x = 2,690,947.40/1,740
  6. Step 6: Final answer
    x = 1,546.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.