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Finding the Fourth Proportional to 1,586.62, 2,388.20 and 1,435.69

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Solution

The fourth proportional to 1,586.62, 2,388.20 and 1,435.69 is: 2,161.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,586.62 : 2,388.20 = 1,435.69 : x
  2. Step 2: Convert to fraction form
    1,586.62/2,388.20 = 1,435.69/x
  3. Step 3: Cross multiply
    1,586.62x = 2,388.20 × 1,435.69
  4. Step 4: Simplify right side
    1,586.62x = 3,428,695.74
  5. Step 5: Solve for x
    x = 3,428,695.74/1,586.62
  6. Step 6: Final answer
    x = 2,161.01

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.