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Finding the Fourth Proportional to 1,871.88, 2,582.04 and 1,164.12

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Solution

The fourth proportional to 1,871.88, 2,582.04 and 1,164.12 is: 1,605.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,871.88 : 2,582.04 = 1,164.12 : x
  2. Step 2: Convert to fraction form
    1,871.88/2,582.04 = 1,164.12/x
  3. Step 3: Cross multiply
    1,871.88x = 2,582.04 × 1,164.12
  4. Step 4: Simplify right side
    1,871.88x = 3,005,804.40
  5. Step 5: Solve for x
    x = 3,005,804.40/1,871.88
  6. Step 6: Final answer
    x = 1,605.77

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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.