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Finding the Fourth Proportional to 1,675.06, 2,512.92 and 579.40

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Solution

The fourth proportional to 1,675.06, 2,512.92 and 579.40 is: 869.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,675.06 : 2,512.92 = 579.40 : x
  2. Step 2: Convert to fraction form
    1,675.06/2,512.92 = 579.40/x
  3. Step 3: Cross multiply
    1,675.06x = 2,512.92 × 579.40
  4. Step 4: Simplify right side
    1,675.06x = 1,455,985.85
  5. Step 5: Solve for x
    x = 1,455,985.85/1,675.06
  6. Step 6: Final answer
    x = 869.21

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