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Finding the Fourth Proportional to 1,598.72, 2,205.47 and 935.16

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Solution

The fourth proportional to 1,598.72, 2,205.47 and 935.16 is: 1,290.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,598.72 : 2,205.47 = 935.16 : x
  2. Step 2: Convert to fraction form
    1,598.72/2,205.47 = 935.16/x
  3. Step 3: Cross multiply
    1,598.72x = 2,205.47 × 935.16
  4. Step 4: Simplify right side
    1,598.72x = 2,062,461.39
  5. Step 5: Solve for x
    x = 2,062,461.39/1,598.72
  6. Step 6: Final answer
    x = 1,290.07

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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.