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Finding the Fourth Proportional to 1,859.94, 2,786.51 and 870.94

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Solution

The fourth proportional to 1,859.94, 2,786.51 and 870.94 is: 1,304.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,859.94 : 2,786.51 = 870.94 : x
  2. Step 2: Convert to fraction form
    1,859.94/2,786.51 = 870.94/x
  3. Step 3: Cross multiply
    1,859.94x = 2,786.51 × 870.94
  4. Step 4: Simplify right side
    1,859.94x = 2,426,883.02
  5. Step 5: Solve for x
    x = 2,426,883.02/1,859.94
  6. Step 6: Final answer
    x = 1,304.82

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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.