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Finding the Fourth Proportional to 2,130.90, 2,940.02 and 1,384.88

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Solution

The fourth proportional to 2,130.90, 2,940.02 and 1,384.88 is: 1,910.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,130.90 : 2,940.02 = 1,384.88 : x
  2. Step 2: Convert to fraction form
    2,130.90/2,940.02 = 1,384.88/x
  3. Step 3: Cross multiply
    2,130.90x = 2,940.02 × 1,384.88
  4. Step 4: Simplify right side
    2,130.90x = 4,071,574.90
  5. Step 5: Solve for x
    x = 4,071,574.90/2,130.90
  6. Step 6: Final answer
    x = 1,910.73

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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.