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Finding the Fourth Proportional to 1,925.21, 2,886.66 and 936.08

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Solution

The fourth proportional to 1,925.21, 2,886.66 and 936.08 is: 1,403.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,925.21 : 2,886.66 = 936.08 : x
  2. Step 2: Convert to fraction form
    1,925.21/2,886.66 = 936.08/x
  3. Step 3: Cross multiply
    1,925.21x = 2,886.66 × 936.08
  4. Step 4: Simplify right side
    1,925.21x = 2,702,144.69
  5. Step 5: Solve for x
    x = 2,702,144.69/1,925.21
  6. Step 6: Final answer
    x = 1,403.56

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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.