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Finding the Fourth Proportional to 1,685.60, 2,327.09 and 1,127.01

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Solution

The fourth proportional to 1,685.60, 2,327.09 and 1,127.01 is: 1,555.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,685.60 : 2,327.09 = 1,127.01 : x
  2. Step 2: Convert to fraction form
    1,685.60/2,327.09 = 1,127.01/x
  3. Step 3: Cross multiply
    1,685.60x = 2,327.09 × 1,127.01
  4. Step 4: Simplify right side
    1,685.60x = 2,622,648.07
  5. Step 5: Solve for x
    x = 2,622,648.07/1,685.60
  6. Step 6: Final answer
    x = 1,555.92

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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.