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Finding the Fourth Proportional to 1,259.88, 1,884.06 and 1,026.60

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Solution

The fourth proportional to 1,259.88, 1,884.06 and 1,026.60 is: 1,535.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,259.88 : 1,884.06 = 1,026.60 : x
  2. Step 2: Convert to fraction form
    1,259.88/1,884.06 = 1,026.60/x
  3. Step 3: Cross multiply
    1,259.88x = 1,884.06 × 1,026.60
  4. Step 4: Simplify right side
    1,259.88x = 1,934,176.00
  5. Step 5: Solve for x
    x = 1,934,176.00/1,259.88
  6. Step 6: Final answer
    x = 1,535.21

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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.