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Finding the Fourth Proportional to 1,598.01, 2,205.27 and 880.16

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Solution

The fourth proportional to 1,598.01, 2,205.27 and 880.16 is: 1,214.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,598.01 : 2,205.27 = 880.16 : x
  2. Step 2: Convert to fraction form
    1,598.01/2,205.27 = 880.16/x
  3. Step 3: Cross multiply
    1,598.01x = 2,205.27 × 880.16
  4. Step 4: Simplify right side
    1,598.01x = 1,940,979.42
  5. Step 5: Solve for x
    x = 1,940,979.42/1,598.01
  6. Step 6: Final answer
    x = 1,214.62

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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.