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Finding the Fourth Proportional to 1,748.58, 2,411.08 and 1,349.34

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Solution

The fourth proportional to 1,748.58, 2,411.08 and 1,349.34 is: 1,860.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,748.58 : 2,411.08 = 1,349.34 : x
  2. Step 2: Convert to fraction form
    1,748.58/2,411.08 = 1,349.34/x
  3. Step 3: Cross multiply
    1,748.58x = 2,411.08 × 1,349.34
  4. Step 4: Simplify right side
    1,748.58x = 3,253,366.69
  5. Step 5: Solve for x
    x = 3,253,366.69/1,748.58
  6. Step 6: Final answer
    x = 1,860.58

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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.