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Finding the Fourth Proportional to 1,679.73, 2,315.75 and 1,417.29

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Solution

The fourth proportional to 1,679.73, 2,315.75 and 1,417.29 is: 1,953.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,679.73 : 2,315.75 = 1,417.29 : x
  2. Step 2: Convert to fraction form
    1,679.73/2,315.75 = 1,417.29/x
  3. Step 3: Cross multiply
    1,679.73x = 2,315.75 × 1,417.29
  4. Step 4: Simplify right side
    1,679.73x = 3,282,077.74
  5. Step 5: Solve for x
    x = 3,282,077.74/1,679.73
  6. Step 6: Final answer
    x = 1,953.94

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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.