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Finding the Fourth Proportional to 1,528.62, 2,295.99 and 913.53

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Solution

The fourth proportional to 1,528.62, 2,295.99 and 913.53 is: 1,372.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,528.62 : 2,295.99 = 913.53 : x
  2. Step 2: Convert to fraction form
    1,528.62/2,295.99 = 913.53/x
  3. Step 3: Cross multiply
    1,528.62x = 2,295.99 × 913.53
  4. Step 4: Simplify right side
    1,528.62x = 2,097,455.74
  5. Step 5: Solve for x
    x = 2,097,455.74/1,528.62
  6. Step 6: Final answer
    x = 1,372.12

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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.