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Finding the Fourth Proportional to 1,740.36, 2,610.71 and 569.98

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Solution

The fourth proportional to 1,740.36, 2,610.71 and 569.98 is: 855.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,740.36 : 2,610.71 = 569.98 : x
  2. Step 2: Convert to fraction form
    1,740.36/2,610.71 = 569.98/x
  3. Step 3: Cross multiply
    1,740.36x = 2,610.71 × 569.98
  4. Step 4: Simplify right side
    1,740.36x = 1,488,052.49
  5. Step 5: Solve for x
    x = 1,488,052.49/1,740.36
  6. Step 6: Final answer
    x = 855.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.