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Finding the Fourth Proportional to 2,589.06, 3,574.50 and 1,595.70

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Solution

The fourth proportional to 2,589.06, 3,574.50 and 1,595.70 is: 2,203.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,589.06 : 3,574.50 = 1,595.70 : x
  2. Step 2: Convert to fraction form
    2,589.06/3,574.50 = 1,595.70/x
  3. Step 3: Cross multiply
    2,589.06x = 3,574.50 × 1,595.70
  4. Step 4: Simplify right side
    2,589.06x = 5,703,823.67
  5. Step 5: Solve for x
    x = 5,703,823.67/2,589.06
  6. Step 6: Final answer
    x = 2,203.04

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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.