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Finding the Fourth Proportional to 2,698.51, 4,047.22 and 750.19

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Solution

The fourth proportional to 2,698.51, 4,047.22 and 750.19 is: 1,125.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,698.51 : 4,047.22 = 750.19 : x
  2. Step 2: Convert to fraction form
    2,698.51/4,047.22 = 750.19/x
  3. Step 3: Cross multiply
    2,698.51x = 4,047.22 × 750.19
  4. Step 4: Simplify right side
    2,698.51x = 3,036,161.86
  5. Step 5: Solve for x
    x = 3,036,161.86/2,698.51
  6. Step 6: Final answer
    x = 1,125.13

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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.