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Finding the Fourth Proportional to 2,714.63, 4,068.90 and 1,154.16

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Solution

The fourth proportional to 2,714.63, 4,068.90 and 1,154.16 is: 1,729.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,714.63 : 4,068.90 = 1,154.16 : x
  2. Step 2: Convert to fraction form
    2,714.63/4,068.90 = 1,154.16/x
  3. Step 3: Cross multiply
    2,714.63x = 4,068.90 × 1,154.16
  4. Step 4: Simplify right side
    2,714.63x = 4,696,161.62
  5. Step 5: Solve for x
    x = 4,696,161.62/2,714.63
  6. Step 6: Final answer
    x = 1,729.95

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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.