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Finding the Fourth Proportional to 1,714.35, 2,573.55 and 1,702.20

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Solution

The fourth proportional to 1,714.35, 2,573.55 and 1,702.20 is: 2,555.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,714.35 : 2,573.55 = 1,702.20 : x
  2. Step 2: Convert to fraction form
    1,714.35/2,573.55 = 1,702.20/x
  3. Step 3: Cross multiply
    1,714.35x = 2,573.55 × 1,702.20
  4. Step 4: Simplify right side
    1,714.35x = 4,380,696.81
  5. Step 5: Solve for x
    x = 4,380,696.81/1,714.35
  6. Step 6: Final answer
    x = 2,555.31

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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.