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Finding the Fourth Proportional to 2,320.76, 3,480.84 and 589.28

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Solution

The fourth proportional to 2,320.76, 3,480.84 and 589.28 is: 883.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,320.76 : 3,480.84 = 589.28 : x
  2. Step 2: Convert to fraction form
    2,320.76/3,480.84 = 589.28/x
  3. Step 3: Cross multiply
    2,320.76x = 3,480.84 × 589.28
  4. Step 4: Simplify right side
    2,320.76x = 2,051,189.40
  5. Step 5: Solve for x
    x = 2,051,189.40/2,320.76
  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.