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Finding the Fourth Proportional to 1,595.10, 2,200.49 and 1,035.75

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Solution

The fourth proportional to 1,595.10, 2,200.49 and 1,035.75 is: 1,428.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,595.10 : 2,200.49 = 1,035.75 : x
  2. Step 2: Convert to fraction form
    1,595.10/2,200.49 = 1,035.75/x
  3. Step 3: Cross multiply
    1,595.10x = 2,200.49 × 1,035.75
  4. Step 4: Simplify right side
    1,595.10x = 2,279,152.34
  5. Step 5: Solve for x
    x = 2,279,152.34/1,595.10
  6. Step 6: Final answer
    x = 1,428.85

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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.