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Finding the Fourth Proportional to 1,937, 2,675.26 and 1,314.92

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Solution

The fourth proportional to 1,937, 2,675.26 and 1,314.92 is: 1,816.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,937 : 2,675.26 = 1,314.92 : x
  2. Step 2: Convert to fraction form
    1,937/2,675.26 = 1,314.92/x
  3. Step 3: Cross multiply
    1,937x = 2,675.26 × 1,314.92
  4. Step 4: Simplify right side
    1,937x = 3,517,752.88
  5. Step 5: Solve for x
    x = 3,517,752.88/1,937
  6. Step 6: Final answer
    x = 1,816.08

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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.