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Finding the Fourth Proportional to 1,377.39, 2,054.91 and 1,264.49

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Solution

The fourth proportional to 1,377.39, 2,054.91 and 1,264.49 is: 1,886.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,377.39 : 2,054.91 = 1,264.49 : x
  2. Step 2: Convert to fraction form
    1,377.39/2,054.91 = 1,264.49/x
  3. Step 3: Cross multiply
    1,377.39x = 2,054.91 × 1,264.49
  4. Step 4: Simplify right side
    1,377.39x = 2,598,406.82
  5. Step 5: Solve for x
    x = 2,598,406.82/1,377.39
  6. Step 6: Final answer
    x = 1,886.48

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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.