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Finding the Fourth Proportional to 2,320.58, 3,480.90 and 589.22

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Solution

The fourth proportional to 2,320.58, 3,480.90 and 589.22 is: 883.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,320.58 : 3,480.90 = 589.22 : x
  2. Step 2: Convert to fraction form
    2,320.58/3,480.90 = 589.22/x
  3. Step 3: Cross multiply
    2,320.58x = 3,480.90 × 589.22
  4. Step 4: Simplify right side
    2,320.58x = 2,051,015.90
  5. Step 5: Solve for x
    x = 2,051,015.90/2,320.58
  6. Step 6: Final answer
    x = 883.84

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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.