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Finding the Fourth Proportional to 2,364.42, 3,548.16 and 1,065.81

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Solution

The fourth proportional to 2,364.42, 3,548.16 and 1,065.81 is: 1,599.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,364.42 : 3,548.16 = 1,065.81 : x
  2. Step 2: Convert to fraction form
    2,364.42/3,548.16 = 1,065.81/x
  3. Step 3: Cross multiply
    2,364.42x = 3,548.16 × 1,065.81
  4. Step 4: Simplify right side
    2,364.42x = 3,781,664.41
  5. Step 5: Solve for x
    x = 3,781,664.41/2,364.42
  6. Step 6: Final answer
    x = 1,599.40

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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.