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Finding the Fourth Proportional to 1,600.96, 2,210.28 and 1,158.40

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Solution

The fourth proportional to 1,600.96, 2,210.28 and 1,158.40 is: 1,599.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,600.96 : 2,210.28 = 1,158.40 : x
  2. Step 2: Convert to fraction form
    1,600.96/2,210.28 = 1,158.40/x
  3. Step 3: Cross multiply
    1,600.96x = 2,210.28 × 1,158.40
  4. Step 4: Simplify right side
    1,600.96x = 2,560,388.35
  5. Step 5: Solve for x
    x = 2,560,388.35/1,600.96
  6. Step 6: Final answer
    x = 1,599.28

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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.