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Finding the Fourth Proportional to 1,704.77, 2,552.76 and 1,011.93

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Solution

The fourth proportional to 1,704.77, 2,552.76 and 1,011.93 is: 1,515.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,704.77 : 2,552.76 = 1,011.93 : x
  2. Step 2: Convert to fraction form
    1,704.77/2,552.76 = 1,011.93/x
  3. Step 3: Cross multiply
    1,704.77x = 2,552.76 × 1,011.93
  4. Step 4: Simplify right side
    1,704.77x = 2,583,214.43
  5. Step 5: Solve for x
    x = 2,583,214.43/1,704.77
  6. Step 6: Final answer
    x = 1,515.29

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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.