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Finding the Fourth Proportional to 1,600.16, 2,403.12 and 1,532.12

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Solution

The fourth proportional to 1,600.16, 2,403.12 and 1,532.12 is: 2,300.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,600.16 : 2,403.12 = 1,532.12 : x
  2. Step 2: Convert to fraction form
    1,600.16/2,403.12 = 1,532.12/x
  3. Step 3: Cross multiply
    1,600.16x = 2,403.12 × 1,532.12
  4. Step 4: Simplify right side
    1,600.16x = 3,681,868.21
  5. Step 5: Solve for x
    x = 3,681,868.21/1,600.16
  6. Step 6: Final answer
    x = 2,300.94

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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.