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Finding the Fourth Proportional to 1,749.71, 2,412.60 and 1,306.87

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Solution

The fourth proportional to 1,749.71, 2,412.60 and 1,306.87 is: 1,801.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,749.71 : 2,412.60 = 1,306.87 : x
  2. Step 2: Convert to fraction form
    1,749.71/2,412.60 = 1,306.87/x
  3. Step 3: Cross multiply
    1,749.71x = 2,412.60 × 1,306.87
  4. Step 4: Simplify right side
    1,749.71x = 3,152,939.23
  5. Step 5: Solve for x
    x = 3,152,939.23/1,749.71
  6. Step 6: Final answer
    x = 1,801.98

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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.