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Finding the Fourth Proportional to 2,698.48, 4,047.90 and 750.64

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Solution

The fourth proportional to 2,698.48, 4,047.90 and 750.64 is: 1,126.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,698.48 : 4,047.90 = 750.64 : x
  2. Step 2: Convert to fraction form
    2,698.48/4,047.90 = 750.64/x
  3. Step 3: Cross multiply
    2,698.48x = 4,047.90 × 750.64
  4. Step 4: Simplify right side
    2,698.48x = 3,038,515.66
  5. Step 5: Solve for x
    x = 3,038,515.66/2,698.48
  6. Step 6: Final answer
    x = 1,126.01

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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.