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Finding the Fourth Proportional to 2,368.77, 3,268.92 and 1,306.58

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Solution

The fourth proportional to 2,368.77, 3,268.92 and 1,306.58 is: 1,803.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,368.77 : 3,268.92 = 1,306.58 : x
  2. Step 2: Convert to fraction form
    2,368.77/3,268.92 = 1,306.58/x
  3. Step 3: Cross multiply
    2,368.77x = 3,268.92 × 1,306.58
  4. Step 4: Simplify right side
    2,368.77x = 4,271,094.05
  5. Step 5: Solve for x
    x = 4,271,094.05/2,368.77
  6. Step 6: Final answer
    x = 1,803.08

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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.