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Finding the Fourth Proportional to 1,987.32, 2,739.32 and 1,349.06

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Solution

The fourth proportional to 1,987.32, 2,739.32 and 1,349.06 is: 1,859.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,987.32 : 2,739.32 = 1,349.06 : x
  2. Step 2: Convert to fraction form
    1,987.32/2,739.32 = 1,349.06/x
  3. Step 3: Cross multiply
    1,987.32x = 2,739.32 × 1,349.06
  4. Step 4: Simplify right side
    1,987.32x = 3,695,486.60
  5. Step 5: Solve for x
    x = 3,695,486.60/1,987.32
  6. Step 6: Final answer
    x = 1,859.53

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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.