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Finding the Fourth Proportional to 1,746.19, 2,619.69 and 772.57

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Solution

The fourth proportional to 1,746.19, 2,619.69 and 772.57 is: 1,159.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,746.19 : 2,619.69 = 772.57 : x
  2. Step 2: Convert to fraction form
    1,746.19/2,619.69 = 772.57/x
  3. Step 3: Cross multiply
    1,746.19x = 2,619.69 × 772.57
  4. Step 4: Simplify right side
    1,746.19x = 2,023,876.94
  5. Step 5: Solve for x
    x = 2,023,876.94/1,746.19
  6. Step 6: Final answer
    x = 1,159.03

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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.