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Finding the Fourth Proportional to 1,642.87, 2,266.14 and 1,045.36

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Solution

The fourth proportional to 1,642.87, 2,266.14 and 1,045.36 is: 1,441.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,642.87 : 2,266.14 = 1,045.36 : x
  2. Step 2: Convert to fraction form
    1,642.87/2,266.14 = 1,045.36/x
  3. Step 3: Cross multiply
    1,642.87x = 2,266.14 × 1,045.36
  4. Step 4: Simplify right side
    1,642.87x = 2,368,932.11
  5. Step 5: Solve for x
    x = 2,368,932.11/1,642.87
  6. Step 6: Final answer
    x = 1,441.95

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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.