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Finding the Fourth Proportional to 2,714.33, 4,070.70 and 1,154.32

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Solution

The fourth proportional to 2,714.33, 4,070.70 and 1,154.32 is: 1,731.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,714.33 : 4,070.70 = 1,154.32 : x
  2. Step 2: Convert to fraction form
    2,714.33/4,070.70 = 1,154.32/x
  3. Step 3: Cross multiply
    2,714.33x = 4,070.70 × 1,154.32
  4. Step 4: Simplify right side
    2,714.33x = 4,698,880.25
  5. Step 5: Solve for x
    x = 4,698,880.25/2,714.33
  6. Step 6: Final answer
    x = 1,731.14

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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.