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Finding the Fourth Proportional to 1,748.82, 2,410.46 and 1,500.42

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Solution

The fourth proportional to 1,748.82, 2,410.46 and 1,500.42 is: 2,068.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,748.82 : 2,410.46 = 1,500.42 : x
  2. Step 2: Convert to fraction form
    1,748.82/2,410.46 = 1,500.42/x
  3. Step 3: Cross multiply
    1,748.82x = 2,410.46 × 1,500.42
  4. Step 4: Simplify right side
    1,748.82x = 3,616,702.39
  5. Step 5: Solve for x
    x = 3,616,702.39/1,748.82
  6. Step 6: Final answer
    x = 2,068.08

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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.