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Finding the Fourth Proportional to 1,902.40, 2,657.60 and 1,902.40

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Solution

The fourth proportional to 1,902.40, 2,657.60 and 1,902.40 is: 2,657.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,902.40 : 2,657.60 = 1,902.40 : x
  2. Step 2: Convert to fraction form
    1,902.40/2,657.60 = 1,902.40/x
  3. Step 3: Cross multiply
    1,902.40x = 2,657.60 × 1,902.40
  4. Step 4: Simplify right side
    1,902.40x = 5,055,818.24
  5. Step 5: Solve for x
    x = 5,055,818.24/1,902.40
  6. Step 6: Final answer
    x = 2,657.60

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.