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Finding the Fourth Proportional to 1,759.18, 2,638.51 and 589.18

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Solution

The fourth proportional to 1,759.18, 2,638.51 and 589.18 is: 883.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,759.18 : 2,638.51 = 589.18 : x
  2. Step 2: Convert to fraction form
    1,759.18/2,638.51 = 589.18/x
  3. Step 3: Cross multiply
    1,759.18x = 2,638.51 × 589.18
  4. Step 4: Simplify right side
    1,759.18x = 1,554,557.32
  5. Step 5: Solve for x
    x = 1,554,557.32/1,759.18
  6. Step 6: Final answer
    x = 883.68

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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.