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Finding the Fourth Proportional to 1,714.16, 2,363.36 and 1,153.44

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Solution

The fourth proportional to 1,714.16, 2,363.36 and 1,153.44 is: 1,590.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,714.16 : 2,363.36 = 1,153.44 : x
  2. Step 2: Convert to fraction form
    1,714.16/2,363.36 = 1,153.44/x
  3. Step 3: Cross multiply
    1,714.16x = 2,363.36 × 1,153.44
  4. Step 4: Simplify right side
    1,714.16x = 2,725,993.96
  5. Step 5: Solve for x
    x = 2,725,993.96/1,714.16
  6. Step 6: Final answer
    x = 1,590.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.