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Finding the Fourth Proportional to 2,688.37, 4,032.50 and 740.59

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Solution

The fourth proportional to 2,688.37, 4,032.50 and 740.59 is: 1,110.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,688.37 : 4,032.50 = 740.59 : x
  2. Step 2: Convert to fraction form
    2,688.37/4,032.50 = 740.59/x
  3. Step 3: Cross multiply
    2,688.37x = 4,032.50 × 740.59
  4. Step 4: Simplify right side
    2,688.37x = 2,986,425.47
  5. Step 5: Solve for x
    x = 2,986,425.47/2,688.37
  6. Step 6: Final answer
    x = 1,110.87

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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.