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Finding the Fourth Proportional to 1,782.29, 2,671.95 and 1,235.54

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Solution

The fourth proportional to 1,782.29, 2,671.95 and 1,235.54 is: 1,852.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,782.29 : 2,671.95 = 1,235.54 : x
  2. Step 2: Convert to fraction form
    1,782.29/2,671.95 = 1,235.54/x
  3. Step 3: Cross multiply
    1,782.29x = 2,671.95 × 1,235.54
  4. Step 4: Simplify right side
    1,782.29x = 3,301,301.10
  5. Step 5: Solve for x
    x = 3,301,301.10/1,782.29
  6. Step 6: Final answer
    x = 1,852.28

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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.