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Finding the Fourth Proportional to 1,594.98, 2,393.55 and 826.02

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Solution

The fourth proportional to 1,594.98, 2,393.55 and 826.02 is: 1,239.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,594.98 : 2,393.55 = 826.02 : x
  2. Step 2: Convert to fraction form
    1,594.98/2,393.55 = 826.02/x
  3. Step 3: Cross multiply
    1,594.98x = 2,393.55 × 826.02
  4. Step 4: Simplify right side
    1,594.98x = 1,977,120.17
  5. Step 5: Solve for x
    x = 1,977,120.17/1,594.98
  6. Step 6: Final answer
    x = 1,239.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.