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Finding the Fourth Proportional to 1,747.51, 2,412.65 and 1,118.31

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Solution

The fourth proportional to 1,747.51, 2,412.65 and 1,118.31 is: 1,543.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,747.51 : 2,412.65 = 1,118.31 : x
  2. Step 2: Convert to fraction form
    1,747.51/2,412.65 = 1,118.31/x
  3. Step 3: Cross multiply
    1,747.51x = 2,412.65 × 1,118.31
  4. Step 4: Simplify right side
    1,747.51x = 2,698,084.37
  5. Step 5: Solve for x
    x = 2,698,084.37/1,747.51
  6. Step 6: Final answer
    x = 1,543.96

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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.