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Finding the Fourth Proportional to 2,689.64, 4,032.03 and 957.86

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Solution

The fourth proportional to 2,689.64, 4,032.03 and 957.86 is: 1,435.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,689.64 : 4,032.03 = 957.86 : x
  2. Step 2: Convert to fraction form
    2,689.64/4,032.03 = 957.86/x
  3. Step 3: Cross multiply
    2,689.64x = 4,032.03 × 957.86
  4. Step 4: Simplify right side
    2,689.64x = 3,862,100.10
  5. Step 5: Solve for x
    x = 3,862,100.10/2,689.64
  6. Step 6: Final answer
    x = 1,435.92

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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.