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Finding the Fourth Proportional to 1,595.22, 2,200.93 and 1,005.94

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Solution

The fourth proportional to 1,595.22, 2,200.93 and 1,005.94 is: 1,387.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,595.22 : 2,200.93 = 1,005.94 : x
  2. Step 2: Convert to fraction form
    1,595.22/2,200.93 = 1,005.94/x
  3. Step 3: Cross multiply
    1,595.22x = 2,200.93 × 1,005.94
  4. Step 4: Simplify right side
    1,595.22x = 2,214,003.52
  5. Step 5: Solve for x
    x = 2,214,003.52/1,595.22
  6. Step 6: Final answer
    x = 1,387.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.