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Finding the Fourth Proportional to 1,368.89, 1,886.86 and 926.63

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Solution

The fourth proportional to 1,368.89, 1,886.86 and 926.63 is: 1,277.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,368.89 : 1,886.86 = 926.63 : x
  2. Step 2: Convert to fraction form
    1,368.89/1,886.86 = 926.63/x
  3. Step 3: Cross multiply
    1,368.89x = 1,886.86 × 926.63
  4. Step 4: Simplify right side
    1,368.89x = 1,748,421.08
  5. Step 5: Solve for x
    x = 1,748,421.08/1,368.89
  6. Step 6: Final answer
    x = 1,277.25

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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.