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Finding the Fourth Proportional to 2,688.60, 4,032.24 and 957.24

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Solution

The fourth proportional to 2,688.60, 4,032.24 and 957.24 is: 1,435.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,688.60 : 4,032.24 = 957.24 : x
  2. Step 2: Convert to fraction form
    2,688.60/4,032.24 = 957.24/x
  3. Step 3: Cross multiply
    2,688.60x = 4,032.24 × 957.24
  4. Step 4: Simplify right side
    2,688.60x = 3,859,821.42
  5. Step 5: Solve for x
    x = 3,859,821.42/2,688.60
  6. Step 6: Final answer
    x = 1,435.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.