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Finding the Fourth Proportional to 1,714.32, 2,574.60 and 1,644.72

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Solution

The fourth proportional to 1,714.32, 2,574.60 and 1,644.72 is: 2,470.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,714.32 : 2,574.60 = 1,644.72 : x
  2. Step 2: Convert to fraction form
    1,714.32/2,574.60 = 1,644.72/x
  3. Step 3: Cross multiply
    1,714.32x = 2,574.60 × 1,644.72
  4. Step 4: Simplify right side
    1,714.32x = 4,234,496.11
  5. Step 5: Solve for x
    x = 4,234,496.11/1,714.32
  6. Step 6: Final answer
    x = 2,470.07

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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.