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Finding the Fourth Proportional to 2,178.42, 3,001.23 and 1,788

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Solution

The fourth proportional to 2,178.42, 3,001.23 and 1,788 is: 2,463.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,178.42 : 3,001.23 = 1,788 : x
  2. Step 2: Convert to fraction form
    2,178.42/3,001.23 = 1,788/x
  3. Step 3: Cross multiply
    2,178.42x = 3,001.23 × 1,788
  4. Step 4: Simplify right side
    2,178.42x = 5,366,199.24
  5. Step 5: Solve for x
    x = 5,366,199.24/2,178.42
  6. Step 6: Final answer
    x = 2,463.34

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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.