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Finding the Fourth Proportional to 2,165.85, 2,988.87 and 1,326.45

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Solution

The fourth proportional to 2,165.85, 2,988.87 and 1,326.45 is: 1,830.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,165.85 : 2,988.87 = 1,326.45 : x
  2. Step 2: Convert to fraction form
    2,165.85/2,988.87 = 1,326.45/x
  3. Step 3: Cross multiply
    2,165.85x = 2,988.87 × 1,326.45
  4. Step 4: Simplify right side
    2,165.85x = 3,964,586.61
  5. Step 5: Solve for x
    x = 3,964,586.61/2,165.85
  6. Step 6: Final answer
    x = 1,830.50

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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.