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Finding the Fourth Proportional to 2,164.85, 2,987.71 and 1,326.10

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Solution

The fourth proportional to 2,164.85, 2,987.71 and 1,326.10 is: 1,830.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,164.85 : 2,987.71 = 1,326.10 : x
  2. Step 2: Convert to fraction form
    2,164.85/2,987.71 = 1,326.10/x
  3. Step 3: Cross multiply
    2,164.85x = 2,987.71 × 1,326.10
  4. Step 4: Simplify right side
    2,164.85x = 3,962,002.23
  5. Step 5: Solve for x
    x = 3,962,002.23/2,164.85
  6. Step 6: Final answer
    x = 1,830.15

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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.