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Finding the Fourth Proportional to 1,748.68, 2,411.58 and 1,349.34

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Solution

The fourth proportional to 1,748.68, 2,411.58 and 1,349.34 is: 1,860.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,748.68 : 2,411.58 = 1,349.34 : x
  2. Step 2: Convert to fraction form
    1,748.68/2,411.58 = 1,349.34/x
  3. Step 3: Cross multiply
    1,748.68x = 2,411.58 × 1,349.34
  4. Step 4: Simplify right side
    1,748.68x = 3,254,050.94
  5. Step 5: Solve for x
    x = 3,254,050.94/1,748.68
  6. Step 6: Final answer
    x = 1,860.86

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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.