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Finding the Fourth Proportional to 1,655.57, 2,477.16 and 1,637.12

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Solution

The fourth proportional to 1,655.57, 2,477.16 and 1,637.12 is: 2,449.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,655.57 : 2,477.16 = 1,637.12 : x
  2. Step 2: Convert to fraction form
    1,655.57/2,477.16 = 1,637.12/x
  3. Step 3: Cross multiply
    1,655.57x = 2,477.16 × 1,637.12
  4. Step 4: Simplify right side
    1,655.57x = 4,055,395.79
  5. Step 5: Solve for x
    x = 4,055,395.79/1,655.57
  6. Step 6: Final answer
    x = 2,449.55

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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.