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Finding the Fourth Proportional to 1,925.74, 2,655.30 and 1,645.12

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Solution

The fourth proportional to 1,925.74, 2,655.30 and 1,645.12 is: 2,268.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,925.74 : 2,655.30 = 1,645.12 : x
  2. Step 2: Convert to fraction form
    1,925.74/2,655.30 = 1,645.12/x
  3. Step 3: Cross multiply
    1,925.74x = 2,655.30 × 1,645.12
  4. Step 4: Simplify right side
    1,925.74x = 4,368,287.14
  5. Step 5: Solve for x
    x = 4,368,287.14/1,925.74
  6. Step 6: Final answer
    x = 2,268.37

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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.