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Finding the Fourth Proportional to 1,748.65, 2,412.52 and 1,119.28

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Solution

The fourth proportional to 1,748.65, 2,412.52 and 1,119.28 is: 1,544.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,748.65 : 2,412.52 = 1,119.28 : x
  2. Step 2: Convert to fraction form
    1,748.65/2,412.52 = 1,119.28/x
  3. Step 3: Cross multiply
    1,748.65x = 2,412.52 × 1,119.28
  4. Step 4: Simplify right side
    1,748.65x = 2,700,285.39
  5. Step 5: Solve for x
    x = 2,700,285.39/1,748.65
  6. Step 6: Final answer
    x = 1,544.21

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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.