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Finding the Fourth Proportional to 2,594.40, 3,888.90 and 950.28

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Solution

The fourth proportional to 2,594.40, 3,888.90 and 950.28 is: 1,424.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,594.40 : 3,888.90 = 950.28 : x
  2. Step 2: Convert to fraction form
    2,594.40/3,888.90 = 950.28/x
  3. Step 3: Cross multiply
    2,594.40x = 3,888.90 × 950.28
  4. Step 4: Simplify right side
    2,594.40x = 3,695,543.89
  5. Step 5: Solve for x
    x = 3,695,543.89/2,594.40
  6. Step 6: Final answer
    x = 1,424.43

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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.