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Finding the Fourth Proportional to 1,786.31, 2,465.50 and 1,040.40

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Solution

The fourth proportional to 1,786.31, 2,465.50 and 1,040.40 is: 1,435.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,786.31 : 2,465.50 = 1,040.40 : x
  2. Step 2: Convert to fraction form
    1,786.31/2,465.50 = 1,040.40/x
  3. Step 3: Cross multiply
    1,786.31x = 2,465.50 × 1,040.40
  4. Step 4: Simplify right side
    1,786.31x = 2,565,106.20
  5. Step 5: Solve for x
    x = 2,565,106.20/1,786.31
  6. Step 6: Final answer
    x = 1,435.98

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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.