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Finding the Fourth Proportional to 1,900.14, 2,840.48 and 1,462.74

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Solution

The fourth proportional to 1,900.14, 2,840.48 and 1,462.74 is: 2,186.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,900.14 : 2,840.48 = 1,462.74 : x
  2. Step 2: Convert to fraction form
    1,900.14/2,840.48 = 1,462.74/x
  3. Step 3: Cross multiply
    1,900.14x = 2,840.48 × 1,462.74
  4. Step 4: Simplify right side
    1,900.14x = 4,154,876.40
  5. Step 5: Solve for x
    x = 4,154,876.40/1,900.14
  6. Step 6: Final answer
    x = 2,186.62

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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.