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Finding the Fourth Proportional to 2,783.58, 3,841.74 and 1,588.98

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Solution

The fourth proportional to 2,783.58, 3,841.74 and 1,588.98 is: 2,193.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,783.58 : 3,841.74 = 1,588.98 : x
  2. Step 2: Convert to fraction form
    2,783.58/3,841.74 = 1,588.98/x
  3. Step 3: Cross multiply
    2,783.58x = 3,841.74 × 1,588.98
  4. Step 4: Simplify right side
    2,783.58x = 6,104,448.03
  5. Step 5: Solve for x
    x = 6,104,448.03/2,783.58
  6. Step 6: Final answer
    x = 2,193.02

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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.