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Finding the Fourth Proportional to 1,752.59, 2,628.89 and 1,203.11

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Solution

The fourth proportional to 1,752.59, 2,628.89 and 1,203.11 is: 1,804.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,752.59 : 2,628.89 = 1,203.11 : x
  2. Step 2: Convert to fraction form
    1,752.59/2,628.89 = 1,203.11/x
  3. Step 3: Cross multiply
    1,752.59x = 2,628.89 × 1,203.11
  4. Step 4: Simplify right side
    1,752.59x = 3,162,824.69
  5. Step 5: Solve for x
    x = 3,162,824.69/1,752.59
  6. Step 6: Final answer
    x = 1,804.66

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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.