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Finding the Fourth Proportional to 1,673.18, 2,510.17 and 577.52

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Solution

The fourth proportional to 1,673.18, 2,510.17 and 577.52 is: 866.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,673.18 : 2,510.17 = 577.52 : x
  2. Step 2: Convert to fraction form
    1,673.18/2,510.17 = 577.52/x
  3. Step 3: Cross multiply
    1,673.18x = 2,510.17 × 577.52
  4. Step 4: Simplify right side
    1,673.18x = 1,449,672.05
  5. Step 5: Solve for x
    x = 1,449,672.05/1,673.18
  6. Step 6: Final answer
    x = 866.42

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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.