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Finding the Fourth Proportional to 1,137.56, 1,714.70 and 1,043.93

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Solution

The fourth proportional to 1,137.56, 1,714.70 and 1,043.93 is: 1,573.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,137.56 : 1,714.70 = 1,043.93 : x
  2. Step 2: Convert to fraction form
    1,137.56/1,714.70 = 1,043.93/x
  3. Step 3: Cross multiply
    1,137.56x = 1,714.70 × 1,043.93
  4. Step 4: Simplify right side
    1,137.56x = 1,790,012.98
  5. Step 5: Solve for x
    x = 1,790,012.98/1,137.56
  6. Step 6: Final answer
    x = 1,573.56

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.