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Finding the Fourth Proportional to 1,397.16, 2,096.64 and 963.54

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Solution

The fourth proportional to 1,397.16, 2,096.64 and 963.54 is: 1,445.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,397.16 : 2,096.64 = 963.54 : x
  2. Step 2: Convert to fraction form
    1,397.16/2,096.64 = 963.54/x
  3. Step 3: Cross multiply
    1,397.16x = 2,096.64 × 963.54
  4. Step 4: Simplify right side
    1,397.16x = 2,020,196.51
  5. Step 5: Solve for x
    x = 2,020,196.51/1,397.16
  6. Step 6: Final answer
    x = 1,445.93

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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.