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Finding the Fourth Proportional to 1,637.18, 2,455.01 and 712.27

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Solution

The fourth proportional to 1,637.18, 2,455.01 and 712.27 is: 1,068.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,637.18 : 2,455.01 = 712.27 : x
  2. Step 2: Convert to fraction form
    1,637.18/2,455.01 = 712.27/x
  3. Step 3: Cross multiply
    1,637.18x = 2,455.01 × 712.27
  4. Step 4: Simplify right side
    1,637.18x = 1,748,629.97
  5. Step 5: Solve for x
    x = 1,748,629.97/1,637.18
  6. Step 6: Final answer
    x = 1,068.07

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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.