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Finding the Fourth Proportional to 1,790.84, 2,683.80 and 1,577.00

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Solution

The fourth proportional to 1,790.84, 2,683.80 and 1,577.00 is: 2,363.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,790.84 : 2,683.80 = 1,577.00 : x
  2. Step 2: Convert to fraction form
    1,790.84/2,683.80 = 1,577.00/x
  3. Step 3: Cross multiply
    1,790.84x = 2,683.80 × 1,577.00
  4. Step 4: Simplify right side
    1,790.84x = 4,232,359.31
  5. Step 5: Solve for x
    x = 4,232,359.31/1,790.84
  6. Step 6: Final answer
    x = 2,363.33

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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.