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Finding the Fourth Proportional to 1,751.49, 2,416.89 and 1,005.51

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Solution

The fourth proportional to 1,751.49, 2,416.89 and 1,005.51 is: 1,387.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,751.49 : 2,416.89 = 1,005.51 : x
  2. Step 2: Convert to fraction form
    1,751.49/2,416.89 = 1,005.51/x
  3. Step 3: Cross multiply
    1,751.49x = 2,416.89 × 1,005.51
  4. Step 4: Simplify right side
    1,751.49x = 2,430,207.06
  5. Step 5: Solve for x
    x = 2,430,207.06/1,751.49
  6. Step 6: Final answer
    x = 1,387.51

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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.