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Finding the Fourth Proportional to 2,130.98, 2,940.93 and 1,187.10

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Solution

The fourth proportional to 2,130.98, 2,940.93 and 1,187.10 is: 1,638.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,130.98 : 2,940.93 = 1,187.10 : x
  2. Step 2: Convert to fraction form
    2,130.98/2,940.93 = 1,187.10/x
  3. Step 3: Cross multiply
    2,130.98x = 2,940.93 × 1,187.10
  4. Step 4: Simplify right side
    2,130.98x = 3,491,178.00
  5. Step 5: Solve for x
    x = 3,491,178.00/2,130.98
  6. Step 6: Final answer
    x = 1,638.30

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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.