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Finding the Fourth Proportional to 1,937.93, 2,674.31 and 1,053.74

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Solution

The fourth proportional to 1,937.93, 2,674.31 and 1,053.74 is: 1,454.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,937.93 : 2,674.31 = 1,053.74 : x
  2. Step 2: Convert to fraction form
    1,937.93/2,674.31 = 1,053.74/x
  3. Step 3: Cross multiply
    1,937.93x = 2,674.31 × 1,053.74
  4. Step 4: Simplify right side
    1,937.93x = 2,818,028.84
  5. Step 5: Solve for x
    x = 2,818,028.84/1,937.93
  6. Step 6: Final answer
    x = 1,454.15

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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.