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Finding the Fourth Proportional to 1,782.42, 2,460.90 and 1,595.59

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Solution

The fourth proportional to 1,782.42, 2,460.90 and 1,595.59 is: 2,202.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,782.42 : 2,460.90 = 1,595.59 : x
  2. Step 2: Convert to fraction form
    1,782.42/2,460.90 = 1,595.59/x
  3. Step 3: Cross multiply
    1,782.42x = 2,460.90 × 1,595.59
  4. Step 4: Simplify right side
    1,782.42x = 3,926,567.15
  5. Step 5: Solve for x
    x = 3,926,567.15/1,782.42
  6. Step 6: Final answer
    x = 2,202.94

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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.