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Finding the Fourth Proportional to 2,714.32, 4,070.71 and 1,048.06

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Solution

The fourth proportional to 2,714.32, 4,070.71 and 1,048.06 is: 1,571.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,714.32 : 4,070.71 = 1,048.06 : x
  2. Step 2: Convert to fraction form
    2,714.32/4,070.71 = 1,048.06/x
  3. Step 3: Cross multiply
    2,714.32x = 4,070.71 × 1,048.06
  4. Step 4: Simplify right side
    2,714.32x = 4,266,348.32
  5. Step 5: Solve for x
    x = 4,266,348.32/2,714.32
  6. Step 6: Final answer
    x = 1,571.79

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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.