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Finding the Fourth Proportional to 2,364.32, 3,546.84 and 1,066.16

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Solution

The fourth proportional to 2,364.32, 3,546.84 and 1,066.16 is: 1,599.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,364.32 : 3,546.84 = 1,066.16 : x
  2. Step 2: Convert to fraction form
    2,364.32/3,546.84 = 1,066.16/x
  3. Step 3: Cross multiply
    2,364.32x = 3,546.84 × 1,066.16
  4. Step 4: Simplify right side
    2,364.32x = 3,781,498.93
  5. Step 5: Solve for x
    x = 3,781,498.93/2,364.32
  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.