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Finding the Fourth Proportional to 1,798.53, 2,695.37 and 1,584.69

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Solution

The fourth proportional to 1,798.53, 2,695.37 and 1,584.69 is: 2,374.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,798.53 : 2,695.37 = 1,584.69 : x
  2. Step 2: Convert to fraction form
    1,798.53/2,695.37 = 1,584.69/x
  3. Step 3: Cross multiply
    1,798.53x = 2,695.37 × 1,584.69
  4. Step 4: Simplify right side
    1,798.53x = 4,271,317.96
  5. Step 5: Solve for x
    x = 4,271,317.96/1,798.53
  6. Step 6: Final answer
    x = 2,374.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.