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Finding the Fourth Proportional to 2,841.00, 4,259.95 and 1,526.31

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Solution

The fourth proportional to 2,841.00, 4,259.95 and 1,526.31 is: 2,288.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,841.00 : 4,259.95 = 1,526.31 : x
  2. Step 2: Convert to fraction form
    2,841.00/4,259.95 = 1,526.31/x
  3. Step 3: Cross multiply
    2,841.00x = 4,259.95 × 1,526.31
  4. Step 4: Simplify right side
    2,841.00x = 6,502,016.44
  5. Step 5: Solve for x
    x = 6,502,016.44/2,841.00
  6. Step 6: Final answer
    x = 2,288.64

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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.