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Finding the Fourth Proportional to 1,755.10, 2,633.85 and 975.10

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Solution

The fourth proportional to 1,755.10, 2,633.85 and 975.10 is: 1,463.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,755.10 : 2,633.85 = 975.10 : x
  2. Step 2: Convert to fraction form
    1,755.10/2,633.85 = 975.10/x
  3. Step 3: Cross multiply
    1,755.10x = 2,633.85 × 975.10
  4. Step 4: Simplify right side
    1,755.10x = 2,568,267.14
  5. Step 5: Solve for x
    x = 2,568,267.14/1,755.10
  6. Step 6: Final answer
    x = 1,463.32

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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.