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Finding the Fourth Proportional to 1,935.73, 2,670.85 and 1,307.42

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Solution

The fourth proportional to 1,935.73, 2,670.85 and 1,307.42 is: 1,803.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,935.73 : 2,670.85 = 1,307.42 : x
  2. Step 2: Convert to fraction form
    1,935.73/2,670.85 = 1,307.42/x
  3. Step 3: Cross multiply
    1,935.73x = 2,670.85 × 1,307.42
  4. Step 4: Simplify right side
    1,935.73x = 3,491,922.71
  5. Step 5: Solve for x
    x = 3,491,922.71/1,935.73
  6. Step 6: Final answer
    x = 1,803.93

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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.