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Finding the Fourth Proportional to 1,680.84, 2,518.82 and 948.87

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Solution

The fourth proportional to 1,680.84, 2,518.82 and 948.87 is: 1,421.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,680.84 : 2,518.82 = 948.87 : x
  2. Step 2: Convert to fraction form
    1,680.84/2,518.82 = 948.87/x
  3. Step 3: Cross multiply
    1,680.84x = 2,518.82 × 948.87
  4. Step 4: Simplify right side
    1,680.84x = 2,390,027.99
  5. Step 5: Solve for x
    x = 2,390,027.99/1,680.84
  6. Step 6: Final answer
    x = 1,421.92

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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.