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Finding the Fourth Proportional to 2,891.51, 4,337.27 and 700.23

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Solution

The fourth proportional to 2,891.51, 4,337.27 and 700.23 is: 1,050.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,891.51 : 4,337.27 = 700.23 : x
  2. Step 2: Convert to fraction form
    2,891.51/4,337.27 = 700.23/x
  3. Step 3: Cross multiply
    2,891.51x = 4,337.27 × 700.23
  4. Step 4: Simplify right side
    2,891.51x = 3,037,083.07
  5. Step 5: Solve for x
    x = 3,037,083.07/2,891.51
  6. Step 6: Final answer
    x = 1,050.35

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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.