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Finding the Fourth Proportional to 2,688.50, 4,032.75 and 957.13

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Solution

The fourth proportional to 2,688.50, 4,032.75 and 957.13 is: 1,435.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,688.50 : 4,032.75 = 957.13 : x
  2. Step 2: Convert to fraction form
    2,688.50/4,032.75 = 957.13/x
  3. Step 3: Cross multiply
    2,688.50x = 4,032.75 × 957.13
  4. Step 4: Simplify right side
    2,688.50x = 3,859,866.01
  5. Step 5: Solve for x
    x = 3,859,866.01/2,688.50
  6. Step 6: Final answer
    x = 1,435.70

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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.