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Finding the Fourth Proportional to 1,786.32, 2,465.10 and 1,040.40

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Solution

The fourth proportional to 1,786.32, 2,465.10 and 1,040.40 is: 1,435.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,786.32 : 2,465.10 = 1,040.40 : x
  2. Step 2: Convert to fraction form
    1,786.32/2,465.10 = 1,040.40/x
  3. Step 3: Cross multiply
    1,786.32x = 2,465.10 × 1,040.40
  4. Step 4: Simplify right side
    1,786.32x = 2,564,690.04
  5. Step 5: Solve for x
    x = 2,564,690.04/1,786.32
  6. Step 6: Final answer
    x = 1,435.74

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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.