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Finding the Fourth Proportional to 1,393.47, 1,922.58 and 1,097.82

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Solution

The fourth proportional to 1,393.47, 1,922.58 and 1,097.82 is: 1,514.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,393.47 : 1,922.58 = 1,097.82 : x
  2. Step 2: Convert to fraction form
    1,393.47/1,922.58 = 1,097.82/x
  3. Step 3: Cross multiply
    1,393.47x = 1,922.58 × 1,097.82
  4. Step 4: Simplify right side
    1,393.47x = 2,110,646.78
  5. Step 5: Solve for x
    x = 2,110,646.78/1,393.47
  6. Step 6: Final answer
    x = 1,514.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.