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Finding the Fourth Proportional to 1,377.60, 1,902 and 1,219.02

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Solution

The fourth proportional to 1,377.60, 1,902 and 1,219.02 is: 1,683.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,377.60 : 1,902 = 1,219.02 : x
  2. Step 2: Convert to fraction form
    1,377.60/1,902 = 1,219.02/x
  3. Step 3: Cross multiply
    1,377.60x = 1,902 × 1,219.02
  4. Step 4: Simplify right side
    1,377.60x = 2,318,576.04
  5. Step 5: Solve for x
    x = 2,318,576.04/1,377.60
  6. Step 6: Final answer
    x = 1,683.05

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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.