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Finding the Fourth Proportional to 2,165.34, 2,987.73 and 1,281.27

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Solution

The fourth proportional to 2,165.34, 2,987.73 and 1,281.27 is: 1,767.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,165.34 : 2,987.73 = 1,281.27 : x
  2. Step 2: Convert to fraction form
    2,165.34/2,987.73 = 1,281.27/x
  3. Step 3: Cross multiply
    2,165.34x = 2,987.73 × 1,281.27
  4. Step 4: Simplify right side
    2,165.34x = 3,828,088.82
  5. Step 5: Solve for x
    x = 3,828,088.82/2,165.34
  6. Step 6: Final answer
    x = 1,767.89

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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.