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Finding the Fourth Proportional to 2,165.51, 3,242.40 and 1,123.33

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Solution

The fourth proportional to 2,165.51, 3,242.40 and 1,123.33 is: 1,681.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,165.51 : 3,242.40 = 1,123.33 : x
  2. Step 2: Convert to fraction form
    2,165.51/3,242.40 = 1,123.33/x
  3. Step 3: Cross multiply
    2,165.51x = 3,242.40 × 1,123.33
  4. Step 4: Simplify right side
    2,165.51x = 3,642,277.09
  5. Step 5: Solve for x
    x = 3,642,277.09/2,165.51
  6. Step 6: Final answer
    x = 1,681.95

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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.