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Finding the Fourth Proportional to 3,142.89, 4,714.91 and 1,034.63

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Solution

The fourth proportional to 3,142.89, 4,714.91 and 1,034.63 is: 1,552.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,142.89 : 4,714.91 = 1,034.63 : x
  2. Step 2: Convert to fraction form
    3,142.89/4,714.91 = 1,034.63/x
  3. Step 3: Cross multiply
    3,142.89x = 4,714.91 × 1,034.63
  4. Step 4: Simplify right side
    3,142.89x = 4,878,206.67
  5. Step 5: Solve for x
    x = 4,878,206.67/3,142.89
  6. Step 6: Final answer
    x = 1,552.14

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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.