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Finding the Fourth Proportional to 2,523.70, 3,482.81 and 1,528.42

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Solution

The fourth proportional to 2,523.70, 3,482.81 and 1,528.42 is: 2,109.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,523.70 : 3,482.81 = 1,528.42 : x
  2. Step 2: Convert to fraction form
    2,523.70/3,482.81 = 1,528.42/x
  3. Step 3: Cross multiply
    2,523.70x = 3,482.81 × 1,528.42
  4. Step 4: Simplify right side
    2,523.70x = 5,323,196.46
  5. Step 5: Solve for x
    x = 5,323,196.46/2,523.70
  6. Step 6: Final answer
    x = 2,109.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.