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Finding the Fourth Proportional to 1,230.58, 1,837.76 and 1,094.50

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Solution

The fourth proportional to 1,230.58, 1,837.76 and 1,094.50 is: 1,634.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230.58 : 1,837.76 = 1,094.50 : x
  2. Step 2: Convert to fraction form
    1,230.58/1,837.76 = 1,094.50/x
  3. Step 3: Cross multiply
    1,230.58x = 1,837.76 × 1,094.50
  4. Step 4: Simplify right side
    1,230.58x = 2,011,428.32
  5. Step 5: Solve for x
    x = 2,011,428.32/1,230.58
  6. Step 6: Final answer
    x = 1,634.54

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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.