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Finding the Fourth Proportional to 1,680.33, 2,518.07 and 948.36

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Solution

The fourth proportional to 1,680.33, 2,518.07 and 948.36 is: 1,421.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,680.33 : 2,518.07 = 948.36 : x
  2. Step 2: Convert to fraction form
    1,680.33/2,518.07 = 948.36/x
  3. Step 3: Cross multiply
    1,680.33x = 2,518.07 × 948.36
  4. Step 4: Simplify right side
    1,680.33x = 2,388,036.87
  5. Step 5: Solve for x
    x = 2,388,036.87/1,680.33
  6. Step 6: Final answer
    x = 1,421.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.