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Finding the Fourth Proportional to 1,870.42, 2,579.43 and 1,478.38

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Solution

The fourth proportional to 1,870.42, 2,579.43 and 1,478.38 is: 2,038.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,870.42 : 2,579.43 = 1,478.38 : x
  2. Step 2: Convert to fraction form
    1,870.42/2,579.43 = 1,478.38/x
  3. Step 3: Cross multiply
    1,870.42x = 2,579.43 × 1,478.38
  4. Step 4: Simplify right side
    1,870.42x = 3,813,377.72
  5. Step 5: Solve for x
    x = 3,813,377.72/1,870.42
  6. Step 6: Final answer
    x = 2,038.78

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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.