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Finding the Fourth Proportional to 2,852.50, 4,275.24 and 2,026.30

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Solution

The fourth proportional to 2,852.50, 4,275.24 and 2,026.30 is: 3,036.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,852.50 : 4,275.24 = 2,026.30 : x
  2. Step 2: Convert to fraction form
    2,852.50/4,275.24 = 2,026.30/x
  3. Step 3: Cross multiply
    2,852.50x = 4,275.24 × 2,026.30
  4. Step 4: Simplify right side
    2,852.50x = 8,662,918.81
  5. Step 5: Solve for x
    x = 8,662,918.81/2,852.50
  6. Step 6: Final answer
    x = 3,036.96

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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.