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Finding the Fourth Proportional to 1,368.20, 1,886.63 and 925.33

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Solution

The fourth proportional to 1,368.20, 1,886.63 and 925.33 is: 1,275.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,368.20 : 1,886.63 = 925.33 : x
  2. Step 2: Convert to fraction form
    1,368.20/1,886.63 = 925.33/x
  3. Step 3: Cross multiply
    1,368.20x = 1,886.63 × 925.33
  4. Step 4: Simplify right side
    1,368.20x = 1,745,755.34
  5. Step 5: Solve for x
    x = 1,745,755.34/1,368.20
  6. Step 6: Final answer
    x = 1,275.95

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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.