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Finding the Fourth Proportional to 1,783.60, 2,674.18 and 859.59

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Solution

The fourth proportional to 1,783.60, 2,674.18 and 859.59 is: 1,288.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,783.60 : 2,674.18 = 859.59 : x
  2. Step 2: Convert to fraction form
    1,783.60/2,674.18 = 859.59/x
  3. Step 3: Cross multiply
    1,783.60x = 2,674.18 × 859.59
  4. Step 4: Simplify right side
    1,783.60x = 2,298,699.46
  5. Step 5: Solve for x
    x = 2,298,699.46/1,783.60
  6. Step 6: Final answer
    x = 1,288.80

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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.