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Finding the Fourth Proportional to 1,680.48, 2,318.88 and 981.72

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Solution

The fourth proportional to 1,680.48, 2,318.88 and 981.72 is: 1,354.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,680.48 : 2,318.88 = 981.72 : x
  2. Step 2: Convert to fraction form
    1,680.48/2,318.88 = 981.72/x
  3. Step 3: Cross multiply
    1,680.48x = 2,318.88 × 981.72
  4. Step 4: Simplify right side
    1,680.48x = 2,276,490.87
  5. Step 5: Solve for x
    x = 2,276,490.87/1,680.48
  6. Step 6: Final answer
    x = 1,354.67

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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.