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Finding the Fourth Proportional to 2,636.64, 3,955.53 and 787.91

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Solution

The fourth proportional to 2,636.64, 3,955.53 and 787.91 is: 1,182.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,636.64 : 3,955.53 = 787.91 : x
  2. Step 2: Convert to fraction form
    2,636.64/3,955.53 = 787.91/x
  3. Step 3: Cross multiply
    2,636.64x = 3,955.53 × 787.91
  4. Step 4: Simplify right side
    2,636.64x = 3,116,581.86
  5. Step 5: Solve for x
    x = 3,116,581.86/2,636.64
  6. Step 6: Final answer
    x = 1,182.03

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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.