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Finding the Fourth Proportional to 2,589.12, 3,572.94 and 1,410.18

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Solution

The fourth proportional to 2,589.12, 3,572.94 and 1,410.18 is: 1,946.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,589.12 : 3,572.94 = 1,410.18 : x
  2. Step 2: Convert to fraction form
    2,589.12/3,572.94 = 1,410.18/x
  3. Step 3: Cross multiply
    2,589.12x = 3,572.94 × 1,410.18
  4. Step 4: Simplify right side
    2,589.12x = 5,038,488.53
  5. Step 5: Solve for x
    x = 5,038,488.53/2,589.12
  6. Step 6: Final answer
    x = 1,946.02

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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.