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Finding the Fourth Proportional to 1,598.51, 2,205.47 and 926.27

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Solution

The fourth proportional to 1,598.51, 2,205.47 and 926.27 is: 1,277.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,598.51 : 2,205.47 = 926.27 : x
  2. Step 2: Convert to fraction form
    1,598.51/2,205.47 = 926.27/x
  3. Step 3: Cross multiply
    1,598.51x = 2,205.47 × 926.27
  4. Step 4: Simplify right side
    1,598.51x = 2,042,851.99
  5. Step 5: Solve for x
    x = 2,042,851.99/1,598.51
  6. Step 6: Final answer
    x = 1,277.98

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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.