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Finding the Fourth Proportional to 1,427.87, 2,141.70 and 503.51

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Solution

The fourth proportional to 1,427.87, 2,141.70 and 503.51 is: 755.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427.87 : 2,141.70 = 503.51 : x
  2. Step 2: Convert to fraction form
    1,427.87/2,141.70 = 503.51/x
  3. Step 3: Cross multiply
    1,427.87x = 2,141.70 × 503.51
  4. Step 4: Simplify right side
    1,427.87x = 1,078,356.66
  5. Step 5: Solve for x
    x = 1,078,356.66/1,427.87
  6. Step 6: Final answer
    x = 755.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.