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Finding the Fourth Proportional to 1,498.88, 2,238.12 and 1,187.20

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Solution

The fourth proportional to 1,498.88, 2,238.12 and 1,187.20 is: 1,772.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,498.88 : 2,238.12 = 1,187.20 : x
  2. Step 2: Convert to fraction form
    1,498.88/2,238.12 = 1,187.20/x
  3. Step 3: Cross multiply
    1,498.88x = 2,238.12 × 1,187.20
  4. Step 4: Simplify right side
    1,498.88x = 2,657,096.06
  5. Step 5: Solve for x
    x = 2,657,096.06/1,498.88
  6. Step 6: Final answer
    x = 1,772.72

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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.