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Finding the Fourth Proportional to 1,872.51, 2,810.21 and 703.57

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Solution

The fourth proportional to 1,872.51, 2,810.21 and 703.57 is: 1,055.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,872.51 : 2,810.21 = 703.57 : x
  2. Step 2: Convert to fraction form
    1,872.51/2,810.21 = 703.57/x
  3. Step 3: Cross multiply
    1,872.51x = 2,810.21 × 703.57
  4. Step 4: Simplify right side
    1,872.51x = 1,977,187.03
  5. Step 5: Solve for x
    x = 1,977,187.03/1,872.51
  6. Step 6: Final answer
    x = 1,055.90

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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.