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Finding the Fourth Proportional to 2,532.96, 3,495.12 and 1,538.28

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Solution

The fourth proportional to 2,532.96, 3,495.12 and 1,538.28 is: 2,122.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,532.96 : 3,495.12 = 1,538.28 : x
  2. Step 2: Convert to fraction form
    2,532.96/3,495.12 = 1,538.28/x
  3. Step 3: Cross multiply
    2,532.96x = 3,495.12 × 1,538.28
  4. Step 4: Simplify right side
    2,532.96x = 5,376,473.19
  5. Step 5: Solve for x
    x = 5,376,473.19/2,532.96
  6. Step 6: Final answer
    x = 2,122.60

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1.5x scale

Why These Related Problems?

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