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Finding the Fourth Proportional to 1,714.07, 2,573.53 and 1,635.77

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Solution

The fourth proportional to 1,714.07, 2,573.53 and 1,635.77 is: 2,455.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,714.07 : 2,573.53 = 1,635.77 : x
  2. Step 2: Convert to fraction form
    1,714.07/2,573.53 = 1,635.77/x
  3. Step 3: Cross multiply
    1,714.07x = 2,573.53 × 1,635.77
  4. Step 4: Simplify right side
    1,714.07x = 4,209,703.17
  5. Step 5: Solve for x
    x = 4,209,703.17/1,714.07
  6. Step 6: Final answer
    x = 2,455.97

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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.