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Finding the Fourth Proportional to 2,698.41, 4,047.62 and 750.62

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Solution

The fourth proportional to 2,698.41, 4,047.62 and 750.62 is: 1,125.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,698.41 : 4,047.62 = 750.62 : x
  2. Step 2: Convert to fraction form
    2,698.41/4,047.62 = 750.62/x
  3. Step 3: Cross multiply
    2,698.41x = 4,047.62 × 750.62
  4. Step 4: Simplify right side
    2,698.41x = 3,038,200.53
  5. Step 5: Solve for x
    x = 3,038,200.53/2,698.41
  6. Step 6: Final answer
    x = 1,125.92

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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.