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Finding the Fourth Proportional to 2,852.74, 4,278.70 and 772.93

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Solution

The fourth proportional to 2,852.74, 4,278.70 and 772.93 is: 1,159.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,852.74 : 4,278.70 = 772.93 : x
  2. Step 2: Convert to fraction form
    2,852.74/4,278.70 = 772.93/x
  3. Step 3: Cross multiply
    2,852.74x = 4,278.70 × 772.93
  4. Step 4: Simplify right side
    2,852.74x = 3,307,135.59
  5. Step 5: Solve for x
    x = 3,307,135.59/2,852.74
  6. Step 6: Final answer
    x = 1,159.28

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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.