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Finding the Fourth Proportional to 1,714.35, 2,364.03 and 1,466.49

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Solution

The fourth proportional to 1,714.35, 2,364.03 and 1,466.49 is: 2,022.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,714.35 : 2,364.03 = 1,466.49 : x
  2. Step 2: Convert to fraction form
    1,714.35/2,364.03 = 1,466.49/x
  3. Step 3: Cross multiply
    1,714.35x = 2,364.03 × 1,466.49
  4. Step 4: Simplify right side
    1,714.35x = 3,466,826.35
  5. Step 5: Solve for x
    x = 3,466,826.35/1,714.35
  6. Step 6: Final answer
    x = 2,022.24

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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.