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Finding the Fourth Proportional to 1,783.57, 2,461.33 and 986.95

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Solution

The fourth proportional to 1,783.57, 2,461.33 and 986.95 is: 1,361.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,783.57 : 2,461.33 = 986.95 : x
  2. Step 2: Convert to fraction form
    1,783.57/2,461.33 = 986.95/x
  3. Step 3: Cross multiply
    1,783.57x = 2,461.33 × 986.95
  4. Step 4: Simplify right side
    1,783.57x = 2,429,209.64
  5. Step 5: Solve for x
    x = 2,429,209.64/1,783.57
  6. Step 6: Final answer
    x = 1,361.99

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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.