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Finding the Fourth Proportional to 1,596.60, 2,380.80 and 1,402.40

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Solution

The fourth proportional to 1,596.60, 2,380.80 and 1,402.40 is: 2,091.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,596.60 : 2,380.80 = 1,402.40 : x
  2. Step 2: Convert to fraction form
    1,596.60/2,380.80 = 1,402.40/x
  3. Step 3: Cross multiply
    1,596.60x = 2,380.80 × 1,402.40
  4. Step 4: Simplify right side
    1,596.60x = 3,338,822.02
  5. Step 5: Solve for x
    x = 3,338,822.02/1,596.60
  6. Step 6: Final answer
    x = 2,091.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.