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Finding the Fourth Proportional to 2,164.99, 2,987.61 and 1,368.74

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Solution

The fourth proportional to 2,164.99, 2,987.61 and 1,368.74 is: 1,888.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,164.99 : 2,987.61 = 1,368.74 : x
  2. Step 2: Convert to fraction form
    2,164.99/2,987.61 = 1,368.74/x
  3. Step 3: Cross multiply
    2,164.99x = 2,987.61 × 1,368.74
  4. Step 4: Simplify right side
    2,164.99x = 4,089,261.31
  5. Step 5: Solve for x
    x = 4,089,261.31/2,164.99
  6. Step 6: Final answer
    x = 1,888.82

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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.